A regular octagon has an area of 180 meters squared and a side length of 9 meters find the apothem

Question

asked Dec 12, 2021 18.2k views

1 Answer

Sangbok Lee · Answer 1 · 2021-12-17T10:12:35+0000

Answer:

apothem = 2.5 m

Explanation:

The area (A) of a regular polygon is

A = pa ( p is the perimeter and a the apothem )

Here A = 180 and p = 8 × 9 = 72, thus

72a = 180 ( divide both sides by 72 )

a = 2.5