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:
[tex]area = \frac{s^2n}{4 tan(\frac{180}{n}) }[/tex]
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
[tex]area = \frac{(20)^2X5}{4 tan(\frac{180}{5}) } \\\\ = \frac{2000}{2.9} \\\\= 689.65 m^2[/tex]
Therefore, the area of regular polygon with 5 sides is 689.65m²
