Question

Find the area of an octagon with a radius of 11 units. Round to the nearest hundredth

Answer 1

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

Answer 2

The area of the octagon should be 342.24 units²

Calculation of area of an octagon:

Since the area of 1 of the 8 triangular sections of the octagon should be.

$A = (1\div 2)r^2.sin(\theta)$

Here θ represent the central angle of the section

Since

The area of the octagon is 8 times

So,

$A = 8.(1/2).11^2.sin(360\div 8) \\\\= 242\sqrt2$

A ≈ 342.24 units²

learn more about the area here: https://brainly.com/question/20822399