Question

1. Find the area of the regular polygon. Give the answer to the nearest tenth.

Pentagon with a side of 6m
A) 123.9m^2
B) 12.4m^2
C) 61.9m^2
D) 49.5m^2
2. Find the area of the regular polygon. Give the answer to the nearest tenth.
Hexagon with a radius of 5in.
A) 65in^2
B) 129.9in^2
C) 259.8in^2
D) 53in^2

Answer 1

A Pentagon with a side of 6 meters.

The area of a pentagon can be determined using this formula:

A = 1/4 * (√(5 * (5 + 2√5)) *a^2); where a= 6 m

A = 10.32 sq. meters or B. 12.4 m^2