How to calculate the area of a room of irregular shape. How to correctly calculate the area. Step-by-step instructions for determining the total
Sometimes you need to know the area or volume of a room in order to make calculations for the purchase various materials for building or renovation. During the repair process, you have to measure the area of \u200b\u200bthe walls in order to determine the amount of wallpaper or other finishing materials. As a rule, calculations begin with measurements. Measurements are carried out using a tape measure or other methods.
This is not a difficult process as there are certain formulas. IN this case enough to determine the size. For this you need:
- purchase a tape measure, the most common, preferably 5 meters;
- take paper, pencil or pen;
- have a calculator, although it is not difficult to calculate on paper.
With the help of this, the minimum set of devices, all necessary calculations. Of course, it is better to have an assistant, but, in extreme cases, you can do everything yourself. The dimensions of the room are measured along the walls, if they are not lined with furniture. If needed exact dimensions, That better furniture set aside and release the walls. Only after that it is recommended to make all measurements. At the same time, one should take into account the fact that right rooms, with right angles practically does not exist when it comes to premises built back in Soviet times. In this regard, it is necessary to take the measurement process very seriously.
Rectangular rooms
If the room has a regular (relatively) rectangular shape, without all sorts of protrusions or niches, then its area is calculated quite simply. First, you need to measure the length and width of the room, after which the results are written down on a piece of paper so as not to forget. Measurements can be made both in meters and in centimeters. If measurements are taken in meters, then a comma is placed after the integer values of meters, and then centimeters are written. For example, 4 meters, 35 centimeters should be written: 4.35 m.
Having measured a length, for example, 2.35 m and a width of 1.4 m, the data are multiplied. For example: 2.35 m x 1.4 m. The result is 3.290 m2 or 3.29 m2. As a rule, two digits are always left after the decimal point. If there are more of them, then the value is rounded according to the rules that were set out in primary school schools. In this case, it is possible to round either to meters or to centimeters, depending on the required accuracy. In general, it is sufficient to measure to the nearest meter, and only occasionally to the nearest centimetre.
Irregular room
Not all rooms have correct form. Quite often there are rooms with protrusions various shapes. In such cases, the rooms are divided into separate squares, rectangles or triangles, depending on the configuration of the ledges. Then all protrusions are measured, after which their area is calculated and all the results obtained are summarized.
The photo above shows an example where the room has a ledge rectangular shape. In this case, the area of the room is calculated as follows:
- The total area without a ledge is calculated: 3.6m x 8.5m \u003d 30.6m 2.
- The area of the protrusion is calculated: 3.25m x 0.8m = 2.6m 2.
- The results obtained add up: 30.6m 2 + 2.6m 2 = 33.2m 2.
There are rooms with sloping walls. Proceed as follows: the wall is broken so that a rectangle and a triangle are obtained (see the figure below). As a result, for calculations, it is necessary to have five sizes. Subsequently, the areas of the figures are calculated separately, and then all the results are either added or subtracted, depending on the nature of the protrusion.
The square is calculated in the following order:
- The main rectangular part is calculated: 6.5 m x 1.4 m = 8.96 m 2. Rounding up we get 9.0 m 2.
- The area of a small rectangle is calculated: 2.7m x 1.9m \u003d 5.13m 2. When rounding, we get 5.0 m 2.
- The area of a triangle with a right angle (1.3m x 1.9m) / 2 = 1.235m 2 is calculated. Rounding will get 1 m 2.
- In conclusion, the results obtained are added up: 9 + 5 + 1 \u003d 15 m 2.
Such accuracy of calculations is absolutely acceptable. As a rule, the layout of the premises is varied, but the calculation rule is absolutely the same: everything is divided into separate, independent figures, the area of \u200b\u200bits individual figures is calculated, and then everything is added up, or maybe subtracted, depending on the configuration of the ledges. This is especially true when determining the floor or ceiling area.
How to calculate wall area
You need to know the area of \u200b\u200bthe walls when it is planned to purchase finishing materials, such as wallpaper, putty, paint and others. If this is a blank wall, then everything is simple here - the height and length of the wall are measured, after which the results are multiplied. If there is a window or doorway in the wall, then you need to determine what area they occupy and subtract from the total area of \u200b\u200bthe wall. That's why:
- measure the height of the walls and their width;
- find out the height and width of doorways;
- measure the height and width of window openings.
blank wall
- 2.5 m x 6.0 m \u003d 15 m 2 - the area of \u200b\u200ba blank wall.
Wall with a doorway:
- Total wall area: 2.5m x 6.0m = 15m2.
- Doorway area: 2.1m x 1.0m \u003d 2.1m 2.
- Wall area without doors: 15m 2 - 2.1m 2 = 12.9m 2.
Wall with a window opening:
- Total wall area: 2.5m x 4m = 10m2.
- Window opening area: 1.3m x 1.5m = 1.95m 2.
- Wall area without a window: 10 m 2 - 1.95 m 2 = 8.05 m 2.
Typically, they calculate total area all walls. To do this, take and add up the results of the areas of each wall. For example: 15m 2 + 12.9m 2 + 10m 2 + 8.05m 2 = 45.95m 2.
Sometimes, for some calculations, you need to know how much space a room occupies. For such calculations, you need to know one more figure: not only the length and width, but also the height of the room. As a result of the calculations, the cubic capacity (volume) of the room is obtained, which is indicated in cubic meters. For example:
- room length - 6 m;
- room width - 4 m;
- room height - 2.5 m.
Now you need to multiply all the indicators: 6m x 4m x 2.5m \u003d 60m 3. So, it turns out that the volume of the room is 60 m 3.
Conclusion
Such accuracy of calculations does not particularly affect the final result, since few people purchase facing materials based on such calculations. As a rule, they purchase any facing materials with some margin. If, for example, count the number ceramic tiles, then the calculations are made by the number of pieces, based on the laying scheme. Even in this case, it is taken with some excess. This is also due to the fact that emergency situations associated with damage are possible. facing material. This is especially true when the work is done independently, without the involvement of professionals.
This also applies to materials such as wallpaper, linoleum, laminate, various lining, siding, etc. It must always be remembered that waste appears during work, and, moreover, there can be a lot of them if the dimensions are arbitrary, without taking into account the use of certain materials.
This approach is especially relevant when laying linoleum, which has standard sizes in width. As for its length, then you need to measure everything very accurately and always 10 centimeters, but add. If miscalculated, it can be costly.
Floor repair in an apartment or house requires accurate calculation m2 in each room. Due to the fact that today Construction Materials- the goods are quite expensive, everyone who started the repair is trying to save as much as possible on materials. If you do not know how to correctly calculate the area of \u200b\u200ba uneven floor, which has custom sizes- this article will tell you about it.
What are calculations useful for?
Why you need to calculate the floor area:
- To buy the required amount of materials;
- Save money on flooring
- To determine the amount of residential assistance in the premises;
- After building a house to determine compliance with the plan;
- When repairing, to determine the size of future furniture, etc.;
There are many reasons why you need to calculate the area of \u200b\u200bthe room, but there are several solutions.
Floor area calculation
If the room is standard (square or rectangular), then everyone can calculate the area of such a room. To do this, you need to find out the width and length of the room, and then simply multiply these indicators.
Thus, the formula will look like this: S = a * b, where a and b are the length and width of the room.
If you are calculating the area of the room for the ceiling, then built-in wardrobes or fireplaces will not affect the area measurements in any way.
If you are going to install a fireplace or install a built-in wardrobe, then the area that it will occupy must be calculated based on the estimated dimensions of the structure and the overall dimensions of the room.
Accurate measurements of rooms in which there is built-in furniture is necessary if you plan to lay flooring. If a fireplace or chest of drawers does not take up much space, its area can be neglected, if there is a lot, the structure can be disassembled for a while or calculate how much space it takes up.
How to calculate floor area with wrong dimensions?
If the room has non-standard dimensions, the calculation of the floor area will take a little longer and more difficult. There are many reasons why a room may have irregular shapes, such as an alcove in the bedroom or a built-in wardrobe. It is worth noting that a way to find the area of a non-standard floor is still possible. To do this, you need to break the room into small geometric figures, for example, triangles, squares, rectangles, etc. Of course, there are many other ways to calculate the floor area, but using this method is much easier to do.
After the room is divided into geometric shapes, you can easily find out their area by multiplying the sides one by the other. After all the calculations, the areas of the figures must be added up, so you can find out the exact area.
How to calculate the area of a room in which there are beveled corners?
Calculating the area of a room in which there is a beveled corner is quite simple, for this you need:
- Calculate the sides of the triangle;
- Calculate the area using the formula S = (a * b) / 2. In this case, a and b are the legs of the triangle.
Heron formula. Area Calculator
There are many ways to find the floor area, one of them is online calculator, which will allow you to quickly and reliably calculate the area of \u200b\u200bany room. You only need to enter measurements in a special table.
Advantages of the area calculator:
- The ability to calculate the area of any geometric figure;
- No need to calculate yourself;
- Speed and accuracy of calculations.
The area calculator is optimal solution the question is how to quickly calculate the floor area of a room.
How to calculate the required number of tiles
In order to find out the required number of tiles required for laying in a particular room, you need to find out the area of \u200b\u200bthe room. How to quickly find the floor area of any room is described above. After the area is calculated, you need to find out the area of 1 tile from the selected collection. After that, you need to calculate how many tiles are needed to lay it in the room.
- Room area: 20 m2;
- Tile dimensions: 0.2 x 0.4 m;
- Area of 1 tile: 0.08 m2;
- Required number of tiles: 250.
In this way, you can find out the number necessary tiles. In the same way, you can calculate the required amount parquet board or laminate. It should be noted that in some cases the number necessary materials depends on the pattern that will be made on the floor surface.
Data on floor area can be found in the house book. Rooms that have a complex geometric shape the easiest way to calculate them is by dividing them into small geometric objects.
You can find out the area of a semicircular surface using the formula: S \u003d πR2 / 2 - the radius of the circle.
In order to floor material did not have to buy more - add up to the required amount of 10%. If you correctly calculate the required amount of materials, you will be able to lay any floor covering with high quality and reliability.
The online calculator considers the perimeter, floor and wall area in rectangular rooms. Enter the length, width and height of the room. Add dimensions for windows and doors. Windows and doors can be added and removed.
Dimensions are entered in meters, you can use fractional values. The results are obtained in linear and square meters.
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Why do you need to calculate the area of \u200b\u200bwalls and floors?
The areas of walls and floors are needed to calculate the materials and the total cost of the work of the finishers. The price for laying tiles, plastering, screeds, wallpapering and painting is set in UAH per square meter. We calculate the consumption of materials by multiplying the coating area by the layer thickness. Material consumption calculators.
We use the perimeter - the total length of the walls of the room - to find out how much the installation and finishing of baguettes and skirting boards will cost.
What dimensions are needed for calculations?
For calculations, we measure with a tape measure or a laser rangefinder:
- room length
- room width
- wall height
- height and width of door and window openings
What tools are used to calculate areas?
We use the program - 3D editor
We install an editor program on the computer, for example, ArchiCAD, AutoCAD, SketchUp. We draw the room in size, get the data, highlighting the necessary fragments.
Flaw: you need to spend time learning the programs. And you can't do without a computer or tablet.
We count manually
We write down the dimensions on a piece of paper, a smartphone, a piece of drywall or a wall. For calculations, we use a calculator, spreadsheet editor (Exel), or count in a column.
Flaw: it is easy to make a mistake, skip the size, count something twice.
How to calculate the area of walls and floors in a rectangular room?
As an example, consider the room in the figure below.
The dimensions are taken in meters. Then, when multiplying, we get square meters or running meters.
To calculate the cost of work, an accuracy of up to 1 cm (two decimal places) is sufficient. For example: the length of the room is 5.62 m.
We write down the received data in a form convenient for us. To whom is more convenient a piece of paper, to whom - a computer.
Having the size data on hand, we proceed to the calculations with the help of fingers, paper or Microsoft Excel.
How to calculate floor and ceiling area
To find out the area of \u200b\u200bthe floor or ceiling, we multiply the length of the room by its width, and we get the result in m 2 (square meters).
Floor S = Length × Width
How to calculate the perimeter - the total length of the walls
To calculate the perimeter of the room (the total length of the walls), add its width to the length of the room and multiply the result by two. The calculation result gives us the length of the walls in m.p. (linear meters). The perimeter is the length of the baguettes in the room.
Tsugunov Anton Valerievich
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Repair is not only troublesome, but also costly. For its implementation, plaster, putty, primer, paint, wallpaper, tile and many other finishing materials are required. To prepare the required number of them, you should calculate the area of \u200b\u200bthe walls, floor and ceiling of the apartment being renovated.
Preparatory work
For the convenience of taking measurements and calculations, it is better to prepare the room in advance, the necessary accessories and tools for this.
The best option for taking measurements is an empty room. If you completely free it from furniture and household appliances if it doesn’t work, then all objects should be moved so as to provide unhindered access to the walls.
For measurements and calculations you will need:
- roulette;
- long ruler (you can use a rule or a long level);
- construction square;
- thin masking tape for marking on the floor;
- pencil and notepad;
- calculator.
To obtain the most accurate results, it is better to measure all quantities twice.
For convenience and clarity, the masters recommend drawing a diagram of the room on paper. In this case, an exact scale is not needed, it is important to transfer the shape of the room to the sheet with all the protrusions and niches, if any. When carrying out measurements, the results obtained fit into the scheme, and then the calculation of the required value is already carried out.
The area of \u200b\u200bliving space is usually measured in square meters, so all the measurement results obtained should be immediately converted into meters. For example, the length of the wall, when measured with a tape measure, turned out to be 560 cm, in meters it will be 5.6 (560:100).
How to determine the floor area in a rectangular room
The premises are the most various forms. To find out the footage of the ceiling or floor, you will have to remember the school geometry course.
For example, the length (A) is 3.24 m, the width (B) is 5.7 m.
S \u003d A × B \u003d 3.24 × 5.7 \u003d 18.47 m²
A room in the form of a trapezoid
It is not uncommon for a living room or bedroom to look like a trapezoid. From the school geometry course, everyone remembers that a trapezoid is a quadrilateral, two sides of which are parallel. To calculate the area (S) of a trapezoid, you need to know the length of the parallel sides (A and B) and its height (h). These values must be inserted into the formula:
So, if your living room has a trapezoidal configuration, you should measure the length of the walls that are parallel, and the distance between them at a right angle - this will be the height.
For example, the lengths of the sides of the room are 2.5 m and 5.7 m, the height of the trapezoid is 3.4 m, then its footage will be as follows:
S = 0.5 × (2.5 + 5.7) × 3.4 = 13.94 m²
Rooms with rounded areas
There are also residential spaces with rounded sections in housing construction. Most often they have the form of a semicircle. This figure can be seen not only in the location of the walls. It is not uncommon for windows and doors to look like an arch. It happens that one or more corners are rounded, and then you can not do without a quarter circle.
Finding out the footage of such spaces is quite simple. The formula for calculating the area of a circle should be taken as a basis.
S = π × R², where π is a constant equal to 3.14 and R is the radius of the circle.
For a semicircle, it will look like S = (π × R²) ÷ 2, and for a quarter - S = (π × R²) ÷ 4
For example, your kitchen contains a semicircle. To calculate the footage, it should be divided into a semicircle and a rectangle. The lengths of the sides of the rectangle are 2.6 m (A) and 6 m (B). The radius of the semicircle is 3 m. The measurements obtained must be inserted into the formulas.
For a rectangle: S₁ = A × B = 2.6 × 6 = 15.6 m²
For a semicircle: S₂ = (π × R²) ÷ 2 = (3.14 × 3²) ÷ 2 = 28.26 ÷ 2 = 14.13 m²
For the whole room: S₃ = S₁ + S₂ = 15.6 + 14.13 = 29.73 m²
If the figure contains a quarter of a circle, it must be divided into a rectangle and a quarter. The calculation algorithm will be similar.
wrong shape
It is convenient to divide a room into several simple shapes when it has an irregular shape, for example, an irregular quadrilateral can be divided into two arbitrary triangles.
Sometimes there are protrusions and niches in the living space, which can have the most different configuration: rectangular, triangular, rounded. To calculate the floor area in such a room, you need:
- In the diagram, break it down into the main figure and the figure of a ledge or niche.
- Find S for each of them.
- For a niche, its value S must be added to the same parameter of the main figure, in the case of a protrusion, its S should be subtracted from the footage of the entire room.
How to determine the area of \u200b\u200bthe walls
To calculate the amount of finishing materials, it is important to know how to calculate the area of \u200b\u200bthe walls.
- In the simplest case, the area of the walls is the product of the perimeter of the room and its height.
This rule applies to rooms in which the ceiling level is the same at all its points and all walls are in the shape of a rectangle.
- indoors with multi-level ceilings and with the shape of the walls other than a rectangle, you can get the total area of \u200b\u200bthe walls like this: calculate the quadrature of each of them separately, and add the results.
