Question

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)

Answer 1

A = 27π cm²

Explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

the central angle of the shaded sector = 360° - 90° = 270° , then

A = πr² ×
`(270)/(360)`

= π × 6² ×
`(3)/(4)`

= 36π ×
`(3)/(4)`

= 9π × 3

= 27π cm²