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

Answer:

A = 27π cm²

Step-by-step 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 × $\frac{270}{360}$

  = π × 6² × $\frac{3}{4}$

  = 36π × $\frac{3}{4}$

  = 9π × 3

 = 27π cm²