Question

Find the area of a regularpolygon with 7 sides that has aperimeter of 63 inches and anapothem of 8 inches.Area[?]in?

Answer 1

The regular polygon will be in the form below:

USing the formula

`\text{Area}=(1)/(2)\text{nsr}`

n is the number of sides=7, s is the length of sides and r is the apothem

The length of each of the sides of the heptagon is

`(63)/(7)=9\text{inches}`

Now we have all the parameters to solve for the area

`\begin{gathered} \text{Area}=(1)/(2)*7*9*8 \\ =252in^2 \end{gathered}`