Answer:
≈ 84.8 cm²
Step-by-step explanation:
The area of the shaded region is calculated as
area of circle - area of unshaded sector
area of circle = πr² = π × 6² = 36π
unshaded area = area of circle × fraction of circle
= 36π × [tex]\frac{90}{360}[/tex] = 36π × [tex]\frac{1}{4}[/tex] = 9π
area of shaded region = 36π - 9π = 27π ≈ 84.8 cm² ( nearest tenth )
