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in Circumference and Area of a Circle by (34.1k points)
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ln given figure, find the area of shaded part If ABCD is a square of side 14 cm and APD and BPC are two semicircles.

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Given: Side of square = 14 cm

Diameter of semi circle (AD = CB) = 14 cm

Radius of semicircle (R) = \(\frac { 14 }{ 2 }\) = 7 cm

∴ Area of square ABCD = (side)2

= 14 × 14 = 196 cm2

Area of semicircle = \(\frac { 1 }{ 2 }\)πr2

\(\frac { 1 }{ 2 }\) × \(\frac { 22 }{ 7 }\) × 7 × 7 = 77 cm2

Area of two semicircle =2 × 77 = 154 cm2

∴ Area of shaded part Area of square ABCD – Area of two semicircles

= 196 – 154 = 42 cm2

Thus area of shaded part 42 sq cm

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