Question

Find the area of a 9-gon with apothem length 7. Round to a whole number.

Answer 1

Explanation:

This time we'll do this using 1 formula to get the answer.

Givens

n = 9 (number of sides in an 9-gon.

inradius (apothem) = a= 7

Formula

Area = a^2 * n * tan(180/n) Substitute

Solution

Area = 9^2 * 9 * tan(180/9) Combine

Area = 81 * 9 * tan(20)

Area = 729 * tan (20)

Area = 265.33

Area rounded = 265