Find the area of a regular octagon with a side length of 5cm. Round to nearest tenth

Question

asked Nov 14, 2021 15.4k views

1 Answer

Wissam · Answer 1 · 2021-11-21T03:16:32+0000

Answer:

$A=50(1+\sqrt 2) \ cm^2$

Explanation:

We have given that the side length of a regular octagon is 5 cm. It is required to find the area of this octagon.

The formula used to find the area of a regular octagon is :

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

a is side length

So,

$A=2(1+\sqrt 2) * (5)^2\\\\A=2(1+\sqrt 2) * 25\\\\A=50(1+\sqrt 2) \ cm^2$

So, the area of a regular octagon is
$50(1+\sqrt 2) \ cm^2$ .