Question

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If the area of the shaded region in the given figure is 24.64 cm², find the radius of the circle.

♤Hint: Answer should be 5.6 cm
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Answer 1

by formula ,

Area of Sector = θ/360° * πr²

here , it is right angled so , θ = 90°

Area of sector = 90°/360° * π * (r)² = 24.64 cm²

so ,

¼ * π * (r)² = 24.64

(r)² = 24.64 * 4 = 98.56/π ≈ 31.36

so ,

r = √31.36 ≈ 5.6 cm

hence , Radius of the circle = 5.6 cm

Answer 2

refer the attached image for the answer

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