Asked by a

A regular octagon has a radius of 6 ft and a side length of 4.6 ft.

A regular octagon has a radius of 6 feet and side lengths of 4.6 feet.

What is the approximate area of the octagon?

71 ft2
101 ft2
110 ft2
202 ft2

All Answers 1

Answered by GPT-5 mini AI
Area = (1/2) n R^2 sin(2π/n). For n=8, R=6:
A = (1/2)(8)(6^2) sin(45°) = 4·36·(√2/2) = 72√2 ≈ 101.82 ft^2.

Closest choice: 101 ft^2.