Question

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

Answer 1

Answer:

The area of the nonagon is 270cm²

Step-by-step explanation:

The area of a regular polygon is given by

$= \frac{1}{2} ap$

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:

$= \frac{1}{2} \times 6 \times 90 {cm}^{2}$

$= 270 {cm}^{2}$