Question

A regular octagon has a radius of 6 ft and a side length of 4.6 ft. what is the approximate area of the octagon? 71 ft2 101 ft2 110 ft2 202 ft2

Answer 1

b

Explanation:

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Answer 2

Option B is correct.

The approximate area of regular octagon is, 101 square ft.

Explanation:

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

To find the area of a regular octagon(A) of side length a is given by :

`A=2\cdot(1+√(2))a^2`

Given the length of side, a= 4.6 ft

Substitute the value of a=4.6 ft in the given formula of area:

`A=2\cdot(1+√(2))\cdot(4.6)^2` or

`A=(2+2√(2))\cdot (21.16)` or

`A=(2+2.828)\cdot(21.16)`

Simplify:

`A=4.828\cdot 21.16 =102.16048` square ft.

therefore, the approximate area of regular octagon is, 101 square ft