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

Answer:
A = 27π cm²
Step-by-step explanation:
Area of the shaded region = area of full circle of O - Area of the unshaded sector
= (πr²) - (θ/360*πr²)
Where,
r = 6 cm
θ = 360
Area of shaded region = (π*6²) - (90/360*π*6²)
= (36π) - (¼*π*36)
= 36π - 9π
Area of shaded region = 27π cm²