Question

What is the area of a regular nonagon with 10 cm sides and an apothem if 6cm?

Answer 1

The area of the nonagon is 270cm²

Explanation:

The area of a regular polygon is given by

`= (1)/(2) ap`

where 'a' is the apothem and 'p' is the perimeter.

The apothem is a=6cm.

The perimeter is p=9×10=90cm.

We substitute the apothem and the perimeter to get:

`= (1)/(2) * 6 * 90 {cm}^(2)`

`= 270 {cm}^(2)`