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

Answer:

Option B is correct.

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

Step-by-step 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 :

$A=2\cdot(1+\sqrt{2})a^2$

Given the length of side, a= 4.6 ft

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

$A=2\cdot(1+\sqrt{2})\cdot(4.6)^2$ or

$A=(2+2\sqrt{2})\cdot (21.16)$ 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

Answer 2

The answer is 101 ft^2