Question

Find the area of the regular octagon with side lengths 11.7 cm and apothem 14.1 cm

Answer 1

Given:

The side length of a regular octagon is 11.7 cm

The apothem is 14.1 cm

We need to determine the area of the regular octagon.

Perimeter of the regular octagon:

The perimeter of the regular octagon is given by

`P=8 * 11.7`

`P=93.6 \ cm`

Thus, the perimeter of the regular octagon is 93.6 cm

Area of the regular octagon:

The area of the regular octagon is given by

`A=(1)/(2)( p * a)`

Substituting the values, we get;

`A=(1)/(2)(93.6 * 14.1)`

`A=(1)/(2)(1319.76)`

`A=659.88 \ cm^2`

Thus, the area of the regular octagon is 659.88 cm²