Question

Find the area of a regular octagon with apothem K and side of 10.

40K
60K
80K

????

Answer 1

Answer: 40K

Explanation:

We know that the area of a regular polygon is given by :-

`A=(1)/(2)*Apothem*Perimeter`

Given: The side of regular octagon = 10

Then, the perimeter of the regular octagon =
`8(side)=8(10)=80`

Now, the area of given regular octagon is given by :-

`A=(1)/(2)*K*80\\\Rightarrow\ A=40K`