What is the formula for finding the surface area of a polygon?
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides….Plug the apothem and the perimeter into the formula.
- area = 1/2 x 120 x 10√3.
- area = 60 x 10√3.
- area = 600√3.
How do you find the area of 5 different sides?
The basic formula for the area of a regular pentagon is, Area of pentagon = 1/2 × p × a; where ‘p’ is the perimeter of the pentagon and ‘a’ is the apothem of a pentagon. However, there is no defined formula for the area of an irregular pentagon.
Is surface area a TSA or CSA?
Curved Surface Area (CSA) – It includes the area of all the curved surfaces. Lateral Surface Area (LSA) – It includes the area of all the surface excluding the top and bottom areas. Total Surface Area (TSA) – It includes the area of all the surfaces of the object including the bases.
What is the formula of irregular polygon?
The measure of an interior angle of an irregular polygon is calculated with the help of the formula: 180° × (n-2)/n, where ‘n’ is the number of sides of a polygon.
What are the surface area formulas?
Surface Area Formulas:
| Shape | Lateral Surface Area (LSA) | Total Surface Area (TSA) |
|---|---|---|
| Right Pyramid | (1/2) Perimeter of base × Slant Height | LSA + Area of Base |
| Right Circular Cone | πrl | πr(l + r) |
| Solid Sphere | 4πr2 | 4πr2 |
| Hemisphere | ½ × 4 × πr2 | 3πr2 |
How do you calculate the area of a polygon?
The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area. As an example, let’s use a hexagon (6 sides) with a side ( s) length of 10. The perimeter is 6 x 10 ( n x s ), equal to 60 (so p = 60).
How to calculate the area of a polygon?
Write down the formula for finding the area of a regular polygon.
What is the equation for the area of a polygon?
Write down the formula for finding the area of a regular polygon. To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.
What is the area of a regular polygon?
What is the area of the regular polygon? T he formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [ (length of one side)/ {2 × (tan (180/number of sides))}].