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Question

Find the area of the shaded region in the figure given below, if ABCD is a square of side 14 cm and APD and BPC are semicircles.
(Take π=227)


A

45 cm2

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B

42 cm2

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C

60 cm2

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D

35 cm2

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Solution

The correct option is B

42 cm2


Area of a circle
=πr2

From Figure, the diameter of circle is 14 cm. Two semi-circles make one full circle.

The area of one full circle is
=227×72=154 cm2

The total area of square
=142=196 cm2

The area of shaded portion = [Area of square- Area of full circle]
= 196 - 154 = 42cm2.
Hence, area of shaded region
=42 cm2


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