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Question

In 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. [4 MARKS]

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Solution

Concept: 1 Mark
Application: 3 Marks

OD is diameter of smaller circle.

Area of the smaller circle
=π×3.52=38.49 cm2

Area of ΔABC=0.5×(14)(7)=49 cm2

Area of semi-circle =0.5π(7)(7)=76.97 cm2

Area of shaded portion in semi-circle =76.9749=27.97 cm2

Total required area =38.49+27.97=66.46 cm2


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