Question

find the area of the shaded
Shaded region if ABCD is a square of side 14 cm and
APD and BPC are semicircles.
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Answer 1

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Answer 2

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Ar.(shaded region) = 42 cm²

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Given :

r = 7 cm

side of square = 14 cm

Solution :

∴ Ar.(square) = (side)²

= (14)²

∴ Ar.(square) = 196 cm²

∴ Ar.(2 semi-circle) = 2 x ½ πr²

= πr²

= ²²⁄₇ x 7 x 7

= 22 x 7

∴ Ar.(2 semi-circle) = 154 cm²

∴ Ar.(shaded region) = Ar.(square) - Ar.(2 semi-circle)

= 196 - 154

∴ Ar.(shaded region) = 42 cm²

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