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Question

In the given figure, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.

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Solution

Radius (r1) of larger circle = 7 cm

Radius (r2) of smaller circle

Area of smaller circle

Area of semi-circle AECFB of larger circle

Area of

Area of the shaded region

= Area of smaller circle + Area of semi-circle AECFB − Area of ΔABC



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