- 1 How to calculate the floor area in buildings of various shapes - examples
- 1.1 Why do I need to know the floor area
- 1.2 Determination of the rectangular floor space
- 1.3 Calculation of irregular plan room area
- 1.4 Learn the area of the triangular space
- 1.5 Area facilities round shape
- 1.6 How to calculate the area of the walls of the room
- 1.7 The proportions of the area between the floor and windows
- 2 How to calculate the area of the room - the formulas and methods of calculation
- 3 How to calculate the square the room, the walls, ceiling and floor
How to calculate the floor area in buildings of various shapes - examples
It is not possible to repair the surface of the floor, not knowing the exact floor space in a private home ownership or apartment. The fact that today the cost of building materials is high enough, and each property owner tries to save on their purchase. Therefore, the information, how to calculate the area of the floor, there will be unnecessary for someone who prefers to do his own repairs.
Why do I need to know the floor area
Before you begin, you should decide the level of activities, plan costs and to calculate the amount of building materials. To do this, the original data will be needed. For this reason, it is important to know how to calculate the area of the floor correctly. This is especially true of uneven surfaces and spaces with a non-standard layout.
There are other reasons, when there is a need to accurately determine the size of the floor:
- check the quality of construction works;
- the need for re-planning premises.
This article describes how to calculate the floor area in square meters in rooms having different configuration.
Determination of the rectangular floor space
Before calculate the floor area should be reserved calculator and measuring tape. The most common room in the shape of a rectangle. For the calculation of their area are formula with all known school: S = a x b, where a and b - length and width. For example, room options 3 and 4 meters, then the target value is 12 sq. m.
In that case, when the room has a fireplace and built-in furniture, then you need to know their area and subtract from the total area. In the event of major floor repairs, all unnecessary in the room will have to be dismantled.
Calculation of irregular plan room area
Much more difficult to calculate the area of a room, which has a polygonal shape. Often in brick houses lay in the present niche, triangular recesses and rounded elements, as in the photo.
In this case, first, how to count the square the floor, the room scheme should be broken into separate zones. For example, if the room is L-shaped plan, it must be divided into two rectangles, then calculate the area of each of them and the results are added together.
Learn the area of the triangular space
When the other part of the room is not perpendicular to the main area, this means that between the two rectangles is still present and the triangle having a right angle.
In this case, the area of the triangle is calculated using the formula: S = (a x b): 2 and added to the total. For example, a = 2, b = 3, then S = (2x3) = 2 3 m².
You can define different area:
- First calculate the square of the rectangle.
- Define a triangular area of the chamfered corner.
- subtract the area of a triangle from the quadrature of a rectangle.
In the case where the triangle is not a right angle, then using Heron's formula S = √p (p - a) (p - b) (p - c).
For example, its sides are equal to 5, 6 and 7, meters, then the calculation carried out as follows:
- Learn semiperimeter triangle p = (5 + 6 + 7) 2 = 9.
- In Heron's formula substitute digital values and the results obtained: √ (9 x (9-7) x (9-6) x (9-5) = 14.7 m².
Area facilities round shape
Often, such a form is present at the windows in old houses or buildings on the balconies, which are aligned with the bathrooms. Calculating a first half protruding portion of a circle and a rectangle is added to the area using the formula S = πR² 2, wherein:
R² - circle radius squared.
For example, the room has a balcony protruding semi-circular shape with a radius of 1.5 meters. Substituting this value in the formula, the result is: S = 3,14h (1,5) ²: 2 = 3.5 meters. See also: "How to calculate the square footage of sex in a different form of rooms."
How to calculate the area of the walls of the room
Procedure for calculating the area of the walls and floor different. The fact is that before squaring to calculate the floor, you should know the length and width of the room, and for the calculation of the walls need to measure its height. So first find out the perimeter of the room and is multiplied by the height of the ceilings.
For example, sex Options 3 and 4 meters and ceiling height is 3 meters. In this case, the perimeter wall is equal to (3 + 4) x 2 = 14 m., And their area 14h3 = S = 42 m².
At the same time we should not forget about the squaring of the openings of windows and doors. Their area is subtracted after the settlement walls. But on the other hand they can not be taken into account and thereby ensure a supply of materials.
The proportions of the area between the floor and windows
According SNP 01.31.2003 parameters windows and their amount should depend on the quadrature-gender. Thus the ratio between the areas of the window openings and floor surfaces for residential apartment buildings will be ranging from 1: 5.5 to 1: 8. With regard to the upper floors, there may be a minimum ratio of 1:10.
For private households the norm regulates the SNP 31/02/2001. According to this document, for each 8 "squares" of the floor surface must account for at least one "square" natural source light flux. In the attic, this proportion may not be less than 1:10.
To provide quality repairs need to find out in advance how to calculate floor space and other necessary dimensions of the room. The preparatory phase also includes the purchase of building materials, and then in the process of repair costs will be kept to a minimum as it does not get more residues, and shipping cost is inexpensive.
Manual calculation method to find out how the floor space takes more time than in the calculations on the existing construction calculator, but it allows you to see more accurate results.
How to calculate the area of the room - the formulas and methods of calculation
It sets out the repair, you must purchase a sufficient amount of wallpaper, glue, paint and other materials. To do this, you need to know how to calculate the area of a room. If you understand how to obtain and apply the necessary measurements, in the future, for example, when buying or selling real estate, you will be able to calculate the area of the premises and verify documents.
Simple room rectangular or square shape
To learn how to calculate the floor area of the room, you should determine its shape. In the room, which is a rectangle or a square, it is necessary to measure the length and width values and multiplied together. You get the room area in square meters.
The formula by which you can calculate the area:
To measure you can take an ordinary tape measure. To get the most accurate results, it is recommended to measure the length of the wall at the beginning and at the end, and if the numbers will be different, take the arithmetic mean value.
The room in which there are niches or projections
If the room available niches protrusions ventilation, plumbing or structure, it is necessary to separately measure each area portion. If this is a niche in the wall, then to the area of the room you need to add the area of the recess. If this protrusion, respectively, from the area of the premises will need to subtract its area.
The same principle should be followed if you want to learn how to calculate the area of the ceiling of the room. Flat, rectangular ceiling without any recesses and protrusions means that it is necessary to measure the length and width, and then calculate the area of a simple multiplication.
If you plan to insulate the floor by means of heating elements, the total area of the floor you will need to subtract the area that is occupied by heavy furniture.
Often there are unusually shaped room. If possible, it is necessary to divide the room into several rectangles to calculate the area of each and fold.
Room area in the shape of a circle is given by:
House S = πR², where R - radius. It is necessary to take into account how many degrees in the sector.
To calculate the square triangular shape of the room using Heron's formula:
Skomnaty = √ (P (P -A) x (P - B) x (P - C)), where P - perimeter of the triangle half, A, B, C - the length of its sides.
Triangle semiperimeter calculated as follows: P = (A + B + C) / 2
Room with a complex configuration of the walls. Photos - welovead.com
Features area calculation simple walls and walls having protrusions and niches
Now let's look at such an important time, as the calculation of the area of the walls of the room. Knowing exactly this value, you can buy the right amount of wallpaper for repair. Of course, you can go to a counselor in the hardware store, and he is sure to tell you how to calculate the wall surface. This is no big deal: measure the length, width and height of the room. Next, calculate the area of the walls of the formula:
Ssten = P × C, where F - perimeter of the room, C - height of the walls.
The perimeter of the room view from the formula:
P = (A + B) x 2, where A - length, B - width.
To obtain more accurate results, the total area of the walls is necessary to subtract the area of door and window openings.
The area of the walls of the room with protrusions or indentations will be different from the area of the walls of a simple room. Do not forget to add value to the basic wall area projecting or recessed portion.
Be careful when making measurements and calculations. If you are using a laser tape measure, then make sure that the beam was directed exactly perpendicular to the wall, otherwise you will get a large error in the results.
How to calculate the square the room, the walls, ceiling and floor
From time to time we need to know the area and volume of the room. These data may be needed in the design of heating and ventilation, the procurement of materials and even in many other situations. Also need to know the wall surface periodically. All these data are easy to calculate, but first have to work with a tape measure - measuring all the required dimensions. To learn how to calculate the area of a room and the walls, the amount of space and will be discussed further.
Often it needs to calculate the cubic capacity of the room, its volume
Room area in square meters
Calculate simple, you only need to remember a simple formula as well as to carry out measurements. It will need:
- Roulette. Better - with lock, but the fit and normal.
- Paper and pencil or pen.
- Calculator (or read in a column, or in the mind).
A set of simple tools, there is in every household. Simply measurements carried out with an assistant, but it is possible to cope on their own.
First you need to measure the length of the walls. Doing this, it is desirable along the walls, but if they are made to heavy furniture, it is possible to measure and in the middle. Only in this case to follow the roulette tape lying along the walls, rather than obliquely - the measurement error will be less.
If the room is the correct form, with no protruding parts, calculate the area of the room is simple. Measuring the length and width, recording on paper. Write numbers in meters, centimeters after the comma. For example, 4.35 m length (430 cm), width of 3.25 m (325 cm).
How to calculate the area of a room
Point numbers multiply, we get the area of the room in square meters. If we turn to our example, we get the following: 4.35 m * 3.25 m = 14.1375 sq. m. In this magnitude usually leave two digits after the decimal point, then rounded. Total calculated by squaring the room 14.14 square meters.
If you need to calculate the area of a room of irregular shape, it is divided into simple shapes - squares, rectangles, triangles. Then measure all the necessary dimensions, calculations on known formulas (there is little in the table below).
Before you calculate the area of a room, is also making changes. Only in this case, the numbers will not two, but four: Add more length and width of the protrusion. Dimensions of both pieces are considered separately.
One example - in the photo. So like that, and another - a rectangle, the area is considered to be on the same formula: multiply the length by the width. Figure should be found to take away or add to the size of the room - depending on the configuration.
The area of the complex shape of the room
We show in this example how to calculate a projection area of the room (shown pictured above):
- We believe without quadrature protrusion: 3.6 m * 8.5 m = 30.6 sq. m.
- We consider the size of the protruding portion: 3.25 m * 0.8 m = 2.6 sq. m.
- Add together two quantities: 30.6 sq. m. + 2.6 kb. m. = 33.2 sq. m.
Still there are rooms with sloping walls. In this case, we break it so as to obtain rectangles and triangles (as shown below). As you can see, in this case it is required to have five sizes. Break could be in another way, by placing a vertical rather than a horizontal line. It does not matter. Just requires a set of simple shapes, and the way to separate them is arbitrary.
How to calculate the irregular-shaped area of the room
In this case, the order of evaluation is:
- We consider a large rectangular portion: 6.4 m * 1.4 m = 8.96 sq. m. If the round, we get 9, 0 sq.m.
- We calculate the small rectangle: 2.7 m * 1.9 m = 5.13 sq. m. Rounding it, we get 5.1 square meters. m.
- We consider the triangle area. Since it is a right angle, that is equal to half the area of a rectangle with the same dimensions. (1.3 m * 1.9 m) / 2 = 1,235 sq. m. After rounding obtain 1.2 kb. m.
- Now all add up to find the total area of the room: 9.0 + 5.1 + 1.2 = 15.3 sq. m.
Layout of the premises can be very varied, but the general principle you understood: divide by simple shapes, measure all the required dimensions, calculate the quadrature of each piece, then all add up.
The formula for calculating the area and perimeter of simple geometric shapes
One important note: area of the room, the floor and ceiling - it's all the same size. Differences can be if there is some kind of semi-columns, not reaching to the ceiling. Then, out of the total of squaring squaring the subtracted these elements. The result is a floor area.
How to calculate the square the walls
Determination of the area of the walls is often required in the purchase of finishing materials - wallpaper, plaster, etc. For this calculation, additional measurements are necessary. To the already existing width and length of the room will be needed:
- ceiling height;
- the height and width of doorways;
- width and height of window openings.
All measurements - meters, as squaring the walls, too, usually measured in square meters.
The preferred size applied to the plan
Since the walls are rectangular, and the area is considered as a rectangle: multiply the length by the width. In the same way we calculate the size of windows and doorways, their dimensions subtract. For example, calculate the area of the walls depicted in the diagram above.
- Wall with door:
- 2.5 m * 5.6 m = 14 sq. m. - the total area of the long wall
- how long it takes the doorway: 2.1 m * 0.9 m = 1.89 sq.m.
- Wall excluding doorway - 14 m - 1.89 sq. = 12.11 sq m. m
- Wall with window:
- squaring small wall: 2.5 m * 3.2 m = 8 sq.m.
- how long it takes the window: 1.3 m * 1.42 m = 1,846 sq. m, rounded obtain 1.75 sq.m.
- without the wall of the window opening 8 sq. m - 1.75 m = 6.25 sq.m.
Find the total area of the walls is not difficult. Fold all four digits: 14 sqm + 12.11 sqm + 8 sqm + 6.25 sqm = 40.36 sq. m.
The formula for calculating the volume of the room
For some calculations required room volume. In this case, the three values are multiplied by width, length and height of the room. This value is measured in cubic meters (cubic meters), also called the cubic capacity. For example, using data from the previous paragraph:
If all multiply, we obtain: 5.6 m * 3.2 m * 2.5 m = 44.8 m 3. Thus, the volume of the room 44.8 cube.