Mathematics: What is the area of the regular octagon below? A)114.5 m^2 B)229.1 m^2 C)391.1 m^2 D)458.2 m^2

What is the area of the regular octagon below?

proutyhaylee

21.01.2022

The area of the regular octagon is 229.1 $m^{2}$ , which is mentioned in option B, if the radius of the octagon is 9 meters.

Step-by-step explanation:

The given is,

Radius of the Octagon is 9 m

Step:1

Formula for are of regular rectangle is,

$Area, a= 2\sqrt{2}$ × $r^{2}$ ........................(1)

Where,

r - Radius of Octagon

Step:2

From the given values,

r = 9 meter (∵ From given Figure)

Equation (1) becomes,

= 2 × $\sqrt{2}$ × $9^{2}$

= 2 × $\sqrt{2}$ × 81

= 229.10

a = 229.10 $m^{2}$

Result:

The area of the regular octagon is 229.1 $m^{2}$ ,which is mentioned in option B, if the radius of the octagon is 9 meters.

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