Question

A regular octagon has a radius of 6 ft and a side length of

4.6 ft.

What is the approximate area of the octagon?

O

71 112

101 f12

110 112

202112

46

Answer 1

Area of the regular octagon is approximately 102ft²

Explanation:

Given the radius and length of a side of regular octagon as shown;

radius = 6ft and length of side = 4.6ft

Area of a regular octagon is expressed as
`A = 2(1+√(2) )a^(2)` where a is the length of one side. Given a = 4.6ft

Area =
`A = 2(1+√(2) )(4.6)^(2)\\`

`= 2(1+√(2) )*21.16\\= (2+2√(2))*21.16\\ = 4.83*21.16\\= 102.20ft^(2) \\`

Area of the regular octagon is approximately 102ft²