How to calculate the total area. How to calculate the square meter of a wall
With this online calculator, you can find the area of a rectangle.
Using the online calculator for calculating the area of a rectangle, you will receive a detailed step-by-step solution to your example, which will allow you to understand the algorithm for solving such problems and consolidate the material covered.
Entering data into the calculator for calculating the area of a rectangle
You can enter numbers or fractions into the online calculator. Read more in the rules for entering numbers.
N.B. In the online calculator, you can use values in the same units of measurement!
If you have trouble converting units of measure, use the Distance and Length Unit Converter and the Area Unit Converter.
Additional features of the rectangle area calculator
- You can move between input fields by pressing the right and left keys on the keyboard.
where S is the area of the rectangle,
a is the length of the first side,
b is the length of the second side.
You can enter numbers or fractions (-2.4, 5/7, .). Read more in the rules for entering numbers.
Any obscene comments will be removed and their authors blacklisted!
Copying materials is prohibited.
Welcome to OnlineMSchool.
My name is Dovzhik Mikhail Viktorovich. I am the owner and author of this site, I wrote all the theoretical material, and also developed online exercises and calculators that you can use to study mathematics.
Area of an irregular quadrilateral with given sides
Calculates the area of an irregular quadrilateral with known side lengths
With enviable tenacity, some Planetcalc users leave requests to create a calculator for calculating the area of an irregular quadrilateral, for which only the lengths of the sides are known.
The area of the plot of complex shape
I thought that the only way to stop them was to write such a comic calculator. (Press the "Stop" button to determine the area of the quadrilateral you like with the sides you specified).
Side length A
Side length B
Side length C
Side length D
The area of an irregular quadrilateral, knowing only the lengths of the sides, cannot be calculated. I hope this demo helps anyone who asked for a calculator to understand this.
Why you need to know the floor area
Determining the area of a rectangular room
Calculation of the area of the room of the wrong layout
Finding the area of a triangular room
How to calculate the area of the walls of a room
Proportions between floor and window area
It is impossible to repair the floor surface without knowing the exact floor area in a private household or apartment. The fact is that today the cost building materials quite high, and every property owner tries to save as much as possible on their purchase. Therefore, information on how to calculate the floor area will not be superfluous for someone who prefers to make repairs with his own hands.
Why you need to know the floor area
Before starting work, you should decide on the scope of activities, plan costs and calculate the amount of building materials. To do this, you will need the original data. For this reason, it is important to know how to calculate the floor area accurately. This is especially true for uneven surfaces and rooms with a non-standard layout.
There are other reasons when there is a need to accurately determine the dimensions of the floor surface:
- performance quality control construction works;
- the need for redevelopment of the premises.
Determining the area of a rectangular room
Before you calculate the floor area, you should stock up on a calculator and a measuring tape. Most often there are rooms in the shape of a rectangle. To calculate their area, they use a formula known to everyone from school: S \u003d a x b, where a and b are the length and width. For example, a room has parameters of 3 and 4 meters, then the desired value will be 12 square meters. m.
In the event that the room has a fireplace or built-in furniture, then you need to find out their area and subtract from the total area. In the case of a major overhaul of the floor, all unnecessary in the room will have to be dismantled.
Calculation of the area of the room of the wrong layout
It is much more difficult to calculate the area of a room that has a polygonal shape. Often in brick houses in the layout there are niches, triangular recesses and rounded elements, as in the photo.
In this case, before calculating the quadrature of the floor, the layout of the room must be divided into separate zones. For example, if the room has an L-shaped layout, it should be divided into 2 rectangles, then calculate the area of \u200b\u200beach of them and add the results.
Finding the area of a triangular room
When another part of the room is not perpendicular to the main area, this means that there is also a triangle between the two rectangles, which has a right angle.
In this case, the area of the triangle is calculated by the formula: S \u003d (a x b): 2 and added to the grand total. For example, a \u003d 2, b \u003d 3, then S \u003d (2x3): 2 \u003d 3 m².
You can define the area in another way:
- First calculate the square of the rectangle.
- Determine the area of the beveled triangular corner.
- Subtract the area of the triangle from the quadrature of the rectangle.
When the triangle has no right angle, then use Heron's formula S = √p(p - a)(p - b)(p - c).
For example, its sides are 5, 6 and 7 meters, then the calculations are made as follows:
- Find out the semiperimeter of the triangle p = (5+6+7):2 = 9.
- Digital values are substituted into the Heron formula and the result is obtained: √ (9 x (9-7) x (9-6) x (9-5) \u003d 14.7 m².
The square of the premises is rounded
Often, a similar form is present at the windows in old houses or on balconies that are combined with rooms. First, calculate 1/2 of the protruding part of the circle and add to the area of the rectangle, applying the formula S = πR²: 2, in which:
R² is the radius of the circle squared.
For example, the room has a protruding balcony round shape with a radius of 1.5 meters. Substituting this number into the formula, we get the result: S \u003d 3.14x (1.5)²: 2 \u003d 3.5 m². See also: "How to calculate the square meters of the floor with different form rooms".
How to calculate the area of the walls of a room
The procedure for calculating the area of \u200b\u200bwalls and floor is different. The fact is that before you calculate the quadrature of the floor, you should find out the length and width of the room, and to calculate the walls you will need to measure its height. Therefore, they first find out the perimeter of the room and multiply by the height of the ceilings.
For example, the floor parameters are 3 and 4 meters, and the height of the room is 3 meters. In this case, the perimeter of the walls will be equal to (3 + 4) x2 = 14 m, and their area S = 14x3 = 42 m².
In this case, one should not forget about the quadrature of the openings of windows and doors. Their area is subtracted after the completion of wall calculations. But on the other hand, they can be ignored and thus provide a certain supply of materials.
Proportions between floor and window area
According to SNiP 31-01-2003, the parameters of windows and their number should depend on the quadrature of the floor. So for residential multi-apartment buildings, the ratio between the areas of window openings and the floor surface will be from 1:5.5 to 1:8. As for the upper floors, a minimum proportion of 1:10 is allowed there.
For private households, this norm is regulated by SNiP 31-02-2001.
How to calculate the area of a rectangle with different sides
According to this documentation, for every 8 "squares" of the floor surface, there must be at least one "square" of a source of natural light flux. On the attic floors, this proportion cannot be less than 1:10.
To ensure high-quality repairs, you need to find out in advance how to calculate the floor area and other required dimensions premises. Preparatory stage also provides for the purchase of building materials and then during the repair process, costs will be minimized, since there will not be large residues and the cost of delivery will be inexpensive.
The manual method of calculating how to find out the floor area will take longer than when making calculations on an existing construction calculator, but it allows you to find out more accurate results.
How to calculate the area of a rectangle
Area formulas
Square geometric figure - the part of the surface bounded by the closed contour of the given figure. The size of the area is expressed by the number of square units contained in it.
Triangle area formulas
1st formula
S- area of a triangle
a, b- lengths of 2 sides of a triangle
FROM is the angle between sides a and b
2nd formula
S- area of a triangle
a- the length of the side of the triangle
h- the length of the height lowered to side a
3d formula
S- area of a triangle
a, b, c
p- semiperimeter of a triangle
4th formula
S- area of a triangle
r- radius of the inscribed circle
p- semiperimeter of a triangle
5th formula
S- area of a triangle
a, b, c- lengths of 3 sides of a triangle
R is the radius of the circumscribed circle
See also: Program for calculating the area of a triangle.
Square area formulas:
1) The area of a square is equal to the square of the length of its side (a).
2) The area of a square is half the square of the length of its diagonal (d).
S- square area
a- side length of the square
d is the length of the diagonal of the square
See also: Program for calculating the area of a square.
Rectangle area formula:
1) The area of a rectangle is equal to the product of the lengths of its two adjacent sides (a, b).
S- area of the rectangle
a- length of the 1st side of the rectangle
b- length of the 2nd side of the rectangle
See also: Program for calculating the area of a rectangle.
Parallelogram area formula:
1) The area of a parallelogram is equal to the product of the length of its base and the length of its height (a, h).
S is the area of the parallelogram
a- base length
h- height length
See also: Program for calculating the area of a parallelogram.
Trapezoid area formula:
1) The area of a trapezoid is equal to the product of half the sum of its bases and the height (a, b, h).
S- area of the trapezoid
a- length of the 1st base
b- length of the 2nd base
h- the length of the height of the trapezoid
Calculator for calculating the area of a land plot of irregular shape with different sides
See also: Program for calculating the area of a trapezoid.
Formulas for the area of a rhombus:
1) The area of a rhombus is equal to the product of the length of its side and the height (a, h).
2) The area of a rhombus is half the product of its diagonals.
S- area of a rhombus
a- length of the base of the rhombus
h- the length of the height of the rhombus
d1- length of the 1st diagonal
d2- length of the 2nd diagonal
See also: Program for calculating the area of a rhombus.
Circle area formula:
1) The area of a circle is equal to the product of the square of the radius and the number pi (3.1415).
2) The area of a circle is equal to half the product of the length of the circle bounding it and the radius.
S- area of a circle
π - pi (3.1415)
r- circle radius
See also: Program for calculating the area of a circle.
Ellipse area formula:
1) The area of the ellipse is equal to the product of the lengths of the major and minor semiaxes of the ellipse and the number pi (3.1415).
S- area of the ellipse
π - pi (3.1415)
a- the length of the major semi-axis
b- the length of the minor semiaxis
See also: Program for calculating the area of an ellipse.
Online calculator. Rectangle area
Briefly about the main entry level
Square figures on checkered paper. First level.
The algorithm for finding the area of \u200b\u200bfigures on checkered paper:
- Subtract the sum of the areas of all extra shapes from the area of the rectangle.
How to find the area of \u200b\u200bfigures on checkered paper:
Method 1: (useful for standard shapes: triangle, trapezoid, etc.)
- By counting the cells and applying simple theorems, find those sides, heights, diagonals that are required to apply the area formula.
- Substitute the found values into the area equation.
Method 2: (very convenient for complex shapes, but not bad for simple ones)
- Complete the desired figure to a rectangle.
- Find the area of all the resulting additional shapes and the area of the rectangle itself.
- Subtract the sum of the areas of all extra shapes from the area of the rectangle.
Illustrate first way.
Let you need to find the area of such a trapezoid built on a sheet in a cage
We just count the cells and see that in our case, and. Substitute in the formula:
It seems to be even rectangular and, but what is equal to, and what is equal to? How to find out? Let's use both methods for complete clarity.
I way.
Substitute in the formula:
II method(I'll tell you a secret - this way is better).
We need to surround our figure with a rectangle. Like this:
It turned out one (necessary) triangle inside and as many as three unnecessary triangles outside. But on the other hand, the areas of these unnecessary triangles are easily calculated on a sheet in a cage! Here we will count them, and then simply subtract from the whole rectangle.
Why is this way better? Because it works for the most cunning figures too. Look, you need to calculate the area of \u200b\u200bsuch a figure:
We surround it with a rectangle and again we get the one we need, but complex area and many unnecessary, but simple.
And now, to find the area, we simply find the area of \u200b\u200bthe rectangle and subtract from it the remaining area of \u200b\u200bthe figures on checkered paper.
(note that the area is NOT right triangle, but it is still easy to calculate by the main formula).
Here is the answer: .
Well, how do you like this method? Try to use it always, and you can easily find the area of \u200b\u200bthe figures on checkered paper!
AT modern life sometimes everyone has to find out the area of \u200b\u200bthe plot, apartment or room. How to calculate area? It would seem that everything is simple: we take measuring objects, measure, and there it will go by itself. No, it won't. Not only measurements, but also some very important nuances will help to do this correctly.
Measurement
In calculating the area, first of all, measurements of the territory are important. This is the right start that will produce results. The result must be accurate, so you will have to measure accordingly, with minimal or no error. To measure you will need:
- tape measure with lock;
- a pen;
- pencil;
- notepad or notebook;
- long ruler (meter);
- calculator.
Roulette without a latch will bring additional complexity. Do not use pieces of paper if you will be writing a lot. They tend to get lost. Therefore, it is better if you write everything down in a single notebook or notebook.
It is absolutely not necessary to measure along the baseboards. It is enough just to find out the length of the wall, and this can be done anywhere, for example, if the furniture is in the way. You can measure below, above, in the middle. The main thing is strictly parallel to the ceiling and floor. If alone it will be difficult, then it is better to call someone to help.
Observe a strict parallel, diagonally, with the slopes of the ruler, you can not measure in any case. Keep an eye on this, otherwise the results will be wrong!
Rooms without protrusions will be easier to measure. With ledges it is a little more difficult: you have to divide the room into several figures. Calculate the area of each of them, and then add. Most often this is the case.
The length of this or that wall is the side of the figure. Some people think that everything needs to be measured: lengths, heights, and so on. No, when we find the area of a room, we only calculate the floor. The area of the room is the area of the floor and nothing more.
Area calculation
The rooms are different in the shape of the floor. It is by these differences that they judge: the correct figure or the wrong one. Even a small door ledge makes the figure last.
Area is measured in square meters. To calculate square meter, you need to multiply 1 meter by 1 meter.
The area of the room of the correct form
Let's say the floor of your room has the correct shape: rectangular or square. You calmly measured the lengths of all sides, writing the results in a notebook. Now we can start the calculations. Find the area of a square using the formula: side multiplied by side. The formula for the area of a rectangle is the smaller side times the larger side.
Even if you see that your room is in the shape of a square or rectangle, then still measure all sides, not two of them! Are there deviations? It often happens when it seems to be a square, but the sides are still different in length. This is due to construction errors.
So, to calculate the area of a room of the correct form, you need to use the formulas for the area of \u200b\u200ba square or rectangle. For example, you have one side equal to five meters, like all the others. Multiply 5 by 5 and get 25 square meters. Or, one is 5, and the other is 8. The area will be 40 meters squared.
We use smart devices to calculate the area - video
When the room is irregular
In very frequent cases, this is exactly what happens. As already mentioned, even if there is a small ledge in the room, then it irregular shape. Take a closer look at this before jumping to conclusions about the correctness. For example, your room is rectangular, but there are ledges. In such cases, you should not look for formulas for complex shapes in order to find the area. It is enough to divide the room into pieces, that's all. Look for the area of the rectangle, and measure and calculate the areas of the protrusions separately.
Most often, ledges are places in front of thresholds that have the shape of a separate rectangle or trapezoid. If a trapezoid, then multiply half the sum of the two bases (A and B) by the height (H). What is where is shown in the picture. Separately, we consider a rectangular area, the area of \u200b\u200bthe ledge, and then add these two areas. So you can calculate the square meters of the room as a whole.
But what if the ledge is not from the room, but into it? Then it is necessary to consider the area of \u200b\u200bthe correct form, just subtract the protrusion. Shown in the picture. That is, we are looking for the area of a large rectangle (in the picture the sides are marked in red), then we find the area of the ledge, along with the walls, and subtract it from the area of the rectangle.
There are rooms that can be safely called multi-figured. This is, for example, when the room has the shape of some incomprehensible polygon. Here you have to sweat. We take a long ruler and a pencil in our hands. We must try to divide the whole room into correct figures, calculate their area and add them together. Mark the conditional borders of the figures with a pencil. Mark the points with a pencil on the floor.
Designer rooms can no longer be divided into correct shapes. Often come across semicircular ledges. You can calculate the square meters of a room that has this shape. The formula for the area of a semicircle will help. It reads like this: the radius multiplied by the number pi (3.14), squared, is divided by two. The picture shows the floor plan. The distance from A to B is the diameter of the circle. A to O is the radius. The radius is half the diameter. Add the area of the semicircle to the area of the rectangle.
It is even more difficult if instead of a semicircle there is only its segment. The sequence for calculating the total area will remain the same. But because of the segment, you have to mess with the corners. It's difficult, but solvable. In addition to the above tools, you will need:
- strong thread;
- medium sized protractor;
- chalk.
We take a thread and tie chalk to it. We fix the other end of the thread to the floor and try to draw it along the arcuate wall so that the thread is taut. We are trying to complete the construction to a circle or to a semicircle. So we get the center and radius. Once completed, draw with chalk.
Before driving with chalk, make sure that it rests exactly in the middle of the arc.
From the center draw two lines to the ends of the arc. We take a protractor and fix the angle between them. The online calculator will help you calculate square meters. Better so, because the formula is complex. 
Everything, the area of the segment was found. Now you can add up its area and the area of the rest of the room.
total area
When the areas of all rooms are found, it will be possible to calculate the square meters of the entire house or apartment. Just add up all the areas of the rooms. This will give you the total area.
How to calculate wall area - video
In the process of repair or construction work, the owner of the house has to learn many skills. He will also need to learn how to calculate the square of the walls in order to buy the right amount of paint or wallpaper, learn how to calculate the square of the floor in each room in order to purchase laminate, and, finally, how to calculate the area of \u200b\u200bthe room in square meters in order to make an estimate or pay workers.
How to find out the square of a room
At a certain stage of time, each of us faces the problem of how to calculate the quadrature. This is required to pay for utilities, and during repairs, when you need to find out how many rolls of wallpaper are needed to completely paste over the walls, or how many cans of varnish or paint you have to buy.
Of course, how many sq. m in each room of the apartment, you can see in her technical passport, which presents a clear layout of the entire apartment, indicates the square meters of each room, as well as the total area of the entire house. However, experts say that often in this document the quadrature calculation is done incorrectly, and almost always the area indicated in it and the actual area differ by several square meters. m.
Therefore, those who want to correctly calculate the area of \u200b\u200bthe room will have to do it themselves. This will require the most primitive geometric knowledge. So, how to calculate the square meters of the room. To do this, you need to have on hand:
- pencil and paper;
- meter - tape measure;
- calculator.
Knowing the height, width and length of the room, you can use not a manual, but an online calculator, which can be easily found on the Internet. If the area of the room is calculated in the form of a square, then the formula is used, according to which the area of \u200b\u200bthe square was calculated at school. For example, if the size of a room based on a square is 3x3 (meter), then its area is nine square meters. m.
a - length;
b is the width.
How to calculate square meters of walls
The online calculator, which is presented on almost all specialized sites, is a great opportunity to instantly calculate square meters. meters of wall surface. It is necessary to calculate this value in order to correctly determine the required amount of building material.
A convenient online calculator makes it possible not only to calculate the number of square meters, but also the number, for example, of wallpaper, which is necessary for a particular apartment or room.
In general, the online calculator is a very handy tool for those who do not know how to calculate square meters. meters of wall area, however, in order to use it, you need to enter all the parameters correctly:
- length;
- the width of the room;
- height.
But if for some reason the calculator is not available on the Internet, then you will have to calculate the square of the room and the area of the walls in square meters manually, using the following formula:
S = P x C, where:
S - wall area (in sq.m)
P is the perimeter of the room (in meters)
C is the height of the walls (in meters).
Before you calculate the square meters of the walls, you need to know the perimeter of the room. If the room is a square, then the perimeter is calculated easily: just the length of the wall is multiplied by four, but in the case of a rectangle, the perimeter of the rooms follows the formula:
P \u003d (A + B) x 2, where:
A - length (meter)
B - width (meter).
But before you calculate the square meter of the walls, you need to calculate the squares of the door and window openings, if any. This is necessary in order to subtract the area of windows and doors from the total area of \u200b\u200bthe wall in square meters so as not to buy extra building materials.
At the same time, those who are interested in how to calculate the quadrature of a room should take into account that the squares of rooms with protrusions or recesses will differ from the similar parameter of rooms, the shape of which is a square or rectangle, by more than one square meter. That is why every square meter of a recessed area or ledge should be added to the resulting area of \u200b\u200bsuch rooms.
How to calculate the square of a room
The easiest way to calculate the square area of rooms, which are square in shape. However, there are very few such rooms in the house, so you still need a calculator for mathematical calculations. Those who know well how to calculate the square of a room know that measurements should be taken at a rectangular surface - ceiling, floor, wall.
First you need to take a meter and measure the length and width of this surface. The premises of the apartment are very rarely ideally correct. Therefore, in order to find out a relatively accurate square area, one should take not one, but several measurements. For example, it is well known that even walls are very rare, so it is best to measure the floors of rooms first at one end, then in the middle and at the very end.
After that, by finding the arithmetic mean, it is already possible to get a relatively clear picture. It is quite simple to calculate the arithmetic mean: for this, the data measured with a meter in several places are added up, and the resulting amount is divided by the number of measurements.
Thus, after the width and length of the room are obtained, you can already find out, you can find out the footage (in sq. M). The formula for this is extremely simple: the width, for example, 3 meters, is multiplied by the height, for example, 2 meters. This formula allows you to accurately calculate the footage of rooms with the correct shape. But if the room is of a non-standard shape, if it has niches, columns, ledges, etc., it must first be divided into forms convenient for measurements - into a square or rectangle.
For example, niches are measured separately, ledges too, the same goes for columns and other existing interior elements, which are also measured separately. Suppose two niches are created in the room. To find out the floor area in square meters, you need to measure the length and width of the room itself, then the first niche, and then the second niche. Both niche lengths are added up and written down on paper. Then the width of these niches is added up. To find out the number of square meters, the resulting two figures are multiplied and added to the total square meters of the main room.
In the case of a non-standard layout, the space of the rooms is divided into convenient components. It can be either a square and a rectangle, or a triangle and even a circle. And to calculate sq. m of each of these figures, you need to use the appropriate formula.
For example, a rectangle and a square are considered to be length multiplied by width. For a circle, use the formula for calculating the area of a circle, and for a triangle, use the formula for calculating the area of a triangle. All these formulas are in any mathematical reference book, or you can find an online calculator on the Internet. Then all the received data are added up.
Before you calculate the square meters of the floor or ceiling of an irregularly shaped room, you should draw a plan on paper as accurately as possible, and then break it into simple figures, measure their areas and add to each other. For this method of calculation, you only need a meter or tape measure and a calculator.
The area of a circle should be measured using the formula πr2, where r is the radius of the circle or the length of the segment from the center to any point on the circle. By measuring this distance, and then multiplying it by the constant value π on the calculator, we get the area of the circle. If there is no calculator at hand that has a function of the number π, then you need to use the number 3.14. Moreover, it is necessary to measure the circle with at least two people: one person stands with a tape measure, and the other leads the other end around the circumference.
Calculating the squaring of more complex curved surfaces will require a little more advanced knowledge of mathematics. For those who take measurements practical purposes, it will be much easier if they try to represent a curved surface as a few straight lines.
It needs to be known
For measurements, you need to use the same tape measure. Measurements must be taken by placing it at a right angle, that is, two lines of the room, whether it be a square or a rectangle, at the junction are measured at right angles to each other.
If the measured length turned out to be a little less than a meter, then when making measurements, you need to round to the nearest centimeter. For example, if the width is slightly more than one meter eight centimeters, then you should count it that way, ignoring millimeters.
Usually, the obtained width or length of the rooms do not constitute an even figure: the indicators are obtained in meters and centimeters, for example, "3 meters 25 centimeters." In this case, both the meter and the centimeter can be taken as a unit of measurement, getting 3.25 meters or 325 centimeters.
Multiplying the width by the length, it turns out to calculate the area squared. meters. But before that, the data must be converted to one unit of measure. You can use a calculator if necessary. For example, 3.25m x 4.55m = 14.7875 square meters (m2). You need to round up big side: 14.7875 are rounded up to 14.8 m2.
It is not worth being scrupulous and counting millimeters. It is unlikely that walls and floors can be manually measured with an accuracy of one mm, so you need to round up to the nearest cm. But if you need the most accurate data, for example, if measurements are taken before making a stretch ceiling, the significant figure needs to be increased.
For many of those who plan to use the services of a construction company, it is better to call a specialist before starting work, who, having measured the geometric perimeter, determined the shape of the room, the number of simple and complex forms - niches and protrusions, niches, as well as determining the values of other quantities will provide a preliminary estimate.
If you have to do the exterior, then you will also need to measure the roof and the entire structure. By taking measurements and converting the indicators into a single system of units, the specialist will be able not only to have the correct dimensions, but also the final result, according to which the upcoming costs will be calculated both for all construction work and the required volume of building materials.
Discussion is closed.
All calculations are carried out by the usual old-fashioned method using a tape measure, pencil, building level, calculator. You may also need a large square, a compass (usually the simplest tools at hand are used as this tool, for example, a cord tied to a nail).
Of course, there are many modern building appliances, computer programs, which allow you to quickly and accurately calculate the area. But most masters prefer traditional methods. To avoid errors, it is better to take all measurements twice.
Before starting work, all furniture from the room should be removed.
When measurements are taken with a tape measure, you need to carefully monitor that it does not sag. When using a laser tool, care must be taken that the beam is directed exactly perpendicular.
If measuring the area of a room is carried out for the first time, it is better to sketch out a plan of the room on paper in advance. This will make the calculation much easier.
We measure the area of \u200b\u200ba rectangular or square room
How to calculate the area of a room that has rectangular sides? To do this, you need to measure the width and length of the room with a tape measure, then multiply the values \u200b\u200bwith each other. Based school curriculum, the formula will look like this: S \u003d a x b, where a is the length, b is the width.
But not always in the room the walls are even. In this case, the area is measured at the top and bottom. If the results are slightly different, you need to determine the arithmetic mean.
How to calculate the area of a room with niches
Sometimes there are niches or other structures in the room. Measurements of such a room are carried out somewhat differently than just a rectangular room. To figure out how to calculate the area in this case, you will need to calculate each plot separately. For example, when there is a niche in the wall, the area of the room and the area of \u200b\u200bthe niche are measured separately. The results obtained are added up.
How to calculate the area of the walls of a room
If you need to calculate the area of \u200b\u200bthe walls in order to calculate the required amount of materials for their decoration, other methods are used.
Their height, length and width are measured with a tape measure.
To find out the volume of the walls, first of all, you should calculate the perimeter of the room and multiply it by the height. That is, first we use the formula P \u003d (a + c) x 2, where a is the length, b is the width, then S \u003d p x c, where p is the perimeter of the room, c is the height.
The values of window and door openings are calculated separately. This result should be subtracted from the number obtained when calculating the area of \u200b\u200bthe room.
If there are protrusions or decorative recesses in the walls of the room, then the area of \u200b\u200bthe protrusion or niche is added to the area.
Complicated room
Very often there are very unusual design solutions for premises. Understanding how to calculate the area of a room in such a case is not as difficult as it might seem at first glance.
If the room has only right angles, you should divide it into several squares, measure the area of \u200b\u200beach, and add the results.
When the room is round, the area is calculated using the formula S = πr², where π is the constant 3, 14 and r is the radius. The semicircular section is calculated using the same formula, but the result is divided by two more.
To calculate the area of a triangular room, you will have to remember school geometry. First, the semi-perimeter of the triangle is recognized: P \u003d (a + b + c), then its area: S \u003d √ (p (p - a) x (p - c) x (p - c)), where P is half the perimeter of this polygon , a, c, c are the dimensions of its sides.
It is easy to make measurements and make calculations. Each owner should be able to calculate the area of \u200b\u200bthe room. Correctly made calculations will help not only to reduce the cost of materials, but also to control costs if the repair work is carried out by master finishers.
This online calculator helps to calculate, determine and calculate the area of land in online mode. The presented program is able to correctly suggest how to calculate the area land plots irregular shape.
Important! The important area should approximately fit into the circle. Otherwise, the calculations will not be entirely accurate.
Specify all data in meters
A B, D A, C D, B C- The size of each side of the plot.
According to the data entered, our program will calculate online and determine the area of land in square meters, acres, acres and hectares.
Method for determining the size of the site by manual method
There is no need to use complicated tools to correctly calculate the area of plots. We take wooden pegs or metal rods and set them in the corners of our yard. Next, using a measuring tape, we determine the width and length of the plot. As a rule, it is sufficient to measure one width and one length, for rectangular or equilateral areas. For example, we got the following data: width - 20 meters and length - 40 meters.
Next, we proceed to the calculation of the area of the plot. At correct form plot, you can use the geometric formula for determining the area (S) of a rectangle. According to this formula, you need to multiply the width (20) by the length (40), that is, the product of the lengths of the two sides. In our case, S=800 m².
After we have determined our area, we can determine the number of acres on land plot. According to generally accepted data, in one hundred square meters - 100 m². Further, using simple arithmetic, we will divide our parameter S by 100. The finished result will become equal to the size of the plot in acres. For our example, this result is 8. Thus, we get that the area of the site is eight acres.
In the case when the land area is very large, it is best to perform all measurements in other units - in hectares. According to generally accepted units of measurement - 1 ha = 100 acres. For example, if our land plot, according to the measurements obtained, is 10,000 m², then in this case its area is 1 hectare or 100 acres.
If your site is irregular in shape, then in this case the number of acres directly depends on the area. It is for this reason that with online calculator You will be able to correctly calculate the parameter S of the plot, and then dividing the result by 100. Thus, you will receive calculations in acres. This method makes it possible to measure plots of complex shapes, which is very convenient.
common data
The calculation of the area of land plots is based on classical calculations, which are performed according to generally accepted geodetic formulas.
In total, several methods are available for calculating the area of land - mechanical (calculated according to the plan using measured palettes), graphic (determined by the project) and analytical (using the area formula for the measured boundary lines).
To date, the most accurate method is deservedly considered - analytical. Using this method, errors in calculations, as a rule, appear due to errors on the ground of the measured lines. This method is also quite difficult if the boundaries are curvilinear or the number of angles in the plot is more than ten.
A little easier in terms of calculations is the graphical method. It is best used when the lot boundaries are broken lines with few turns.
And the most affordable and easiest way, and the most popular, but at the same time the biggest error - mechanical way. Using this method, you can easily and quickly calculate the area of land of a simple or complex shape.
Among the serious shortcomings of the mechanical or graphical method, the following are distinguished, in addition to errors in measuring the area, an error due to paper deformation or an error in drawing up plans is added to the calculations.
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