Advice 1: How to find square centimeters

Santi squaremeter is a metric unit of area of various plane geometric figures. It has widespread use, starting from school and ending the computation at the level of architecture and mechanics. Find square centimeters, not very difficult
How to find square centimeters
Figuratively square inch is a square whose side length is 1 cm Triangles, rectangles, rhombuses and other geometric shapes may include more than one such square. Thus, square centimeter, in essence, is one of the most commonly used units of area measurement figures in the school curriculum.
Area of various plane geometric figures calculated in different ways:

S = a2 is the area of a square, where a is the length of any of its sides;

S = a*b - the area of a rectangle, where a and b are the sides of this figure;

S = (a*b*sinα)/2 area of a triangle, a and b are the sides of this triangle,α is the angle between the given sides. Actually, the formulas for calculating the area of the triangle is very much;

S = ((a + b)*h)/2 area of trapezoid a and b are the bases of the trapezoid and h is its height. Formulas for calculating area of a trapezoid there are also several;

S = a*h area of a parallelogram, and the side of the parallelogram, h - held to the side elevation.
The above formula is by which it is possible to calculate areas of various geometrical figures.
In order to make it clearer how to find square centimeters, to give a few examples:

Example 1: Given a square whose side length is 14 cm, calculate its area.

To solve the problem you can use one of the above formulas:

S = 142 = 196 cm2

Answer: the area of a square is 196 cm2

Example 2: A rectangle whose length is 20 cm and width 15 cm, is again required to find its area. To solve the problem you can use the second formula:

S = 20*15 = 300 cm2

Answer: the area of a rectangle is 300 cm 2
If the task units of the parties and other parts of the figure are centimeters, and, for example, meters, or decimeters, then to Express the area of this shape in inches again very easily.

Example 3: given trapezoid, the base of which is 14 m and 16 m, its height is 11 m. you want to calculate the area of the shape. This will use the final formula:

S = ((14+16)*11)/2 = 165 m2 = 16500 cm2 (1 m = 100 cm)

Response: the area of a trapezoid 16500 cm2

Advice 2: How to find square meter

To calculate the square meter is not difficult. Need a mathematical formula for rectangles studying in second grade. Difficulties may arise with the calculation of the area of nonstandard shapes. For example, if we are talking about the Pentagon or a more complex configuration.
How to find square meter
You will need
  • measure the sides and angles of a figure, paper, pencil, ruler, protractor.
Draw desired shape on paper. Or draw a plan of the territory, which area are going to count. This will help for further calculations.
Divide the original shape into simple parts: rectangles, triangles or sectors of a circle. Calculate the area of the resulting parts. For rectangles, multiply the lengths of the sides S = a·b.
Determine the area of a triangle in any convenient way. In the General case, it can be calculated by several formulas. If there is a triangle with angles α, β, γ and opposite them the sides a, b, c, then its area S is defined as: S = a·b·sin(γ)/2 = a·c·sin(β)/2 = b·c·sin(α)/2. In other words, pick the angle whose sine is going to be the easiest to calculate, multiply the product of two adjacent sides and divide in half.
Use another method: S = a2·sin(β)·sin(γ)/(2·sin(β + γ). In addition, there is Heron's formula: S = √(p·(p – a)·(p – b)·(p – c)) where R is properiter triangle (p = (a + b + c)/2) and √ ( ... ) is the symbol for a square root. There are other ways. If you have a rectangular or equilateral triangle, the calculation is simplified. In the first case, use the length of the two sides adjacent to the angle 90°: S = a·b/2. In the second measure first the height of the isosceles triangle is lowered to its base. And use the formula S = h·c/2 where h is the height and length of the base.
Calculate the area of sector of a circle included in the figure. To do this, find the product of half the arc length of the sector to the radius of the circle. The most difficult aspect of this task is getting the correct radius value for the selected initial shape of the sector.
Fold the resulting square to the final result.
Use the triangulation method to compute the area of complex shapes like pentagons. Divide your source code into triangles. Calculate their areas and add the results.
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