133k views
5 votes
Find the area of an octagon with a radius of 11 units. Round your answer to the nearest hundredth. NO LINKS

User Jamelah
by
6.4k points

1 Answer

4 votes

Answer:

342.24 units²

Explanation:

The area of one of the 8 triangular sections of the octagon is ...

A = (1/2)r²·sin(θ) . . . . . where θ is the central angle of the section

The area of the octagon is 8 times that, so is ...

A = 8·(1/2)·11²·sin(360°/8) = 242√2

A ≈ 342.24 units²

User Anubis
by
6.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.