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poizon [28]
2 years ago
8

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

Mathematics
1 answer:
Anon25 [30]2 years ago
4 0

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

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