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Question
In the given figure, AB and CD are diameters of a circle with centre O perpendicular to each other. If OA = 7 cm, find the area of shaded region.
Solution
Radius of circle (r) = OA = 7 cm.
Area of the semicircle = `1/2xxpi"r"^2`
= `1/2xx22/7xx7xx7`
= 11 × 7
= 77 cm2
Area of ΔABC = `1/2` × base × height
= `1/2xx14xx7`
= 49 cm2
.·. Area of the shaded portion = Area of semicircle - Area of the ΔABC
= 77 - 49
= 28 cm2
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