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Question

Pair of concentric circle are given, find the area of shaded region if radius of smaller and bigger circle are 7 cm and 14 cm respectively.

A
154 cm2
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B
308 cm2
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C
462 cm2
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D
616 cm2
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Solution

The correct option is C 462 cm2
Area of shaded region
= Area of bigger circle - Area of smaller circle
= Area of ring = π(R2- r2)
....where R and r are radii of bigger and smaller circles respectively.

Given: R = 14 cm, r = 7 cm
We know,
Area of shaded region = π(R2- r2)
= 227×(142- 72)
= 227×147
= 22×21 = 462 cm2
Area of shaded region is 462 cm2.

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