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Question

If the larger circle of radius 14 cm has four smaller circles of radius 3.5 cm, then the area of the shaded portion is


A

400 cm2

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B

426 cm2

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C

462 cm2

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D

482 cm2

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Solution

The correct option is C

462 cm2


Let the radius of bigger circle be r1 and

radius of smaller circles be r2

So, r1=14 cm and r2=3.5 cm
Area of shaded portion = area of the bigger circle area of smaller circles

=πr214πr22
=π(1424×3.52)=π(19649)=227×147=462 cm2


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