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Question:

Find the area of the shaded region in Fig., if ABCD is a square of side 14cm and APD and BPC are semicircles.

Solution:

Area of shaded region = Area of square − Area of two semicircles
Area of square ABCD = 14 × 14 = 196 cm²
Area of two semicircles = Area of 1 complete circle = (22/7) × 7 × 7 = 154 cm²
∴ Area of shaded region = 196 − 154 = 42 cm²