Question

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

Answer 1

The area of the regular nonagon is 270 sq cm.

Explanation:

Given,

Each side of a regular nonagon (b) = 10 cm

The length of apothem (h) = 6 cm.

To find the area of the nonagon.

Formula

The area of a nonagon with b as each side and h as apothem is = 9(
`(1)/(2)`bh)

Now,

Putting the value of h and b we get,

Area = 9(
`(1)/(2)`×10×6) sq cm = 270 sq cm

Hence, the area is 270 sq cm.