Question

Find the Are of the Shaded Region

Answer 1

≈ 84.8 cm²

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 ×
`(90)/(360)` = 36π ×
`(1)/(4)` = 9π

area of shaded region = 36π - 9π = 27π ≈ 84.8 cm² ( nearest tenth )

Answer 2

Area of 3/4 circle = 3/4 x π x r²
= 3/4 x 22/7 x 6²
= 84.86cm²

That should be the correct answer
Hope this helps!!