Question

Write a couple sentences to explain how you would find the area of the shaded region:

Answer 1

I would find the area of the circle and then find the area of the shape in the middle and then minus that from the area of the whole circle

Answer 2

Explanation:

1. Find the area of the circle. Area_c = pi * r^2

2.Find the area of the pentagon in terms of the radius Area_P =

3 sqrt(3) r^2 / 2

The answer you want is Area_shade = Area_c - area_P

Area = pi * r^2 - 3 sqrt(3)r^2/2

Area = r^2 (pi - 3 sqrt(3)/2)