Question

A sign in a store window has the shape of a regular nonagon (9-sided figure). The sign has an apothem length of 40 cm and a side length of 29 cm.

What is its area?

____cm2

Answer 1

5220 cm

Explanation:

A=9/4(a^2)cot(180°/9) is the formula and got 5,220 cm

Answer 2

Area = A
Side length = L = 29 cm
number of sides = n = 9
Apothen = a = 40 cm

A = nLa / 2 = 9*29cm*40cm / 2 = 5,220 cm^2

Answer: 5,220 cm^2