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Question

In the given figure, the area of the shaded portion is __________.
724126_8ef612d425754a02a4ab14a6ab53117c.png

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

The correct option is C 154 cm2
Radius of bigger semicircle is r=14cm
Radius of smaller semicircle is r1=7cm

Area of shaded region = Area of bigger semicircle Area of two smaller semicircles

Area of bigger semicircle =πr22=98π

Area of two smaller semicircles =2×πr212=49π

Area of shaded region =49π=154cm2

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