Question

A regular octagon with sides of length 7 and an apothem of length 10.49 has an area of how many square units

Answer 1

Answer:

The area of the regular octagon is $293.72\ units^{2}$

Step-by-step explanation:

we know that

The area of the regular polygon is equal to

$A=\frac{1}{2}Pa$

where

P is the perimeter of the regular polygon

a is the apothem

Find the perimeter P

$P=8(7)=56\ units$

Find the area

$A=\frac{1}{2}(56)(10.49)=293.72\ units^{2}$