Answer:
The area of the nonagon is 270cm²
Step-by-step explanation:
The area of a regular polygon is given by
[tex] = \frac{1}{2} ap[/tex]
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:
[tex] = \frac{1}{2} \times 6 \times 90 {cm}^{2} [/tex]
[tex] = 270 {cm}^{2} [/tex]
