Question

Find the area of the regular polygon with a side length of 20

Answer 1

The area of regular polygon with 5 sides is 689.65m²

Explanation:

All sides of a regular polygon are equal in length. If you know the length of one of the sides, the area is given by the formula:

   

$area = \frac{s^2n}{4 tan(\frac{180}{n}) }$

 

where

s  is the length of any side

n  is the number of sides

tan  is the tangent function calculated in degrees

Let the number of side of a polygon be 5. So, putting the values in equation

$area = \frac{(20)^2X5}{4 tan(\frac{180}{5}) } \\\\ = \frac{2000}{2.9} \\\\= 689.65 m^2$

Therefore, the area of regular polygon with 5 sides is 689.65m²