In the given figure, ABCD is a square of side 14 cm and A, B, C, D are centres of circular arcs, each of radius 7 cm. Find the area of shaded region.
Mensuration
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Question

In the given figure, ABCD is a square of side 14 cm and A, B, C, D are centres of circular arcs, each of radius 7 cm. Find the area of shaded region.

KnowledgeBoat · Accepted Answer

Given, ABCD is a square. Side = 14 cm Arcs are drawn from A, B, C, D as centres. Radius of each arc = 7 cm Thus, each arc is a quarter circle of radius 7 cm. Area of square = (side)2 = 142 = 196 cm2. Area of four quarter circles: For 4 quarter circles, area = 4 × = 49 × = 22 × 7 = 154 So, Area of four quarter circles = 154 cm2. Area of shaded region = Area of square - Area of four quarter circles Area of shaded region = 196 - 154 = 42 cm2. Hence, area of shaded region = 42 cm2.

Mathematics

In the given figure, ABCD is a square of side 14 cm and A, B, C, D are centres of circular arcs, each of radius 7 cm. Find the area of shaded region.

Mensuration

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