Question

An Octagon has the radius of 56 and an area of 10,391.9 square millimeters.

a1) What is the approximate perimeter of the octagon? Round to the nearest whole number.
A) 93
B) 186
C) 371
D) 1299

a2) What is the approximate length of one side of the octagon? Round to the nearest whole number.
A) 23
B) 46
C) 371
D) 1299

Answer 1

a.371
b.46
i just took the test or assignment

Answer 2

Explanation:

Alright, lets get started.

The area of octagon is given
`= 10391.9`

The formula for area of octagon with side a is =
`2(1+√(2) )a^2`

`10391.9 = 2(1+√(2) )a^2`

hence ,

`a^2 = (10391.9)/(2(1+√(2) ))`

`a^2 = 2152.2329`

`a = 46.39`

Hence the length of the side of the octagon is 46 : Answer

Now perimeter of the octagon will be =
`8*side length`

Hence the perimeter =
`8*46.39 =371.1`

hence the perimeter of the octagon is 371 : Answer

Hope it will help :)