Question

The circle has center O . Its radius is 6 cm , and the central angle a measures 40. What is the area of the shaded region? Give the exact answer in terms of , and be sure to include the correct unit in your answer.

Answer 1

The circle has center O. Its radius is 6 cm, and the central angle measures 40. What is the area of the shaded region? Give the exact answer in terms of π, and be sure to include the correct unit in your answer.

Answer:

= 4π

Explanation:

Area of the shaded region

Sector area = (central angle)/360° x area of circle

= (central angle)/360° x πr²

= 40°/360° x π6²

= 1/9 x 36π

= 36π/9

= 4π