2 years ago

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

Mathematics

1 answer:

xeze [42]2 years ago

8 0

Answer:

342.24 units²

Step-by-step 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

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