In the given figure, AB is the diameter of a circle with centre O and OA = 7 cm. Find the area of the shaded region.
Mensuration
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Question

In the given figure, AB is the diameter of a circle with centre O and OA = 7 cm. Find the area of the shaded region.

KnowledgeBoat · Accepted Answer

In the figure, AB and CD both are diameter of circle and they intersect at 90 . OA = OB = OC = OD = radius of big circle (R) = 7 cm. ∠BOC = 90 In triangle BOC, By pythagoras theorem, BC2 = OB2 + OC2 BC2 = 72 + 72 BC2 = 49 + 49 BC2 = 98 BC = cm. In figure, The smaller circle has diameter = OA = 7 cm, so radius (r) = cm. Calculating, Calculating area of semi-circle CBD, Calculating area of triangle DBC, From figure, Area of shaded area = Area of smaller circle + Area of semicircle - Area of triangle = 38.5 + 77 - 49 = 115.5 - 49 = 66.5 cm2. Hence, area of shaded region = 66.5 cm2.

Mathematics

In the given figure, AB is the diameter of a circle with centre O and OA = 7 cm. Find the area of the shaded region.

Mensuration

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