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

Find the area of the shaded region in the given figure, if ABCD is a square of side 14 cm and APD and BPC are semicircles.  [Use Π = 22/7]

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Solution

It can be observed from the figure that the radius of each semi-circle is 7 cm.

Area of each semi-circle = `1/2 pir^2`

`= 1/2xx22/7xx(7)^2`

= 77 cm2

Area of square ABCD = (Side)2 = (14)2 = 196 cm2

Area of the shaded region

= Area of square ABCD − Area of semi-circle APD − Area of semi-circle BPC

= 196 − 77 − 77 = 196 − 154 = 42 cm2

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APPEARS IN

NCERT Class 10 Maths
Chapter 12 Areas Related to Circles
Exercise 12.3 | Q 3 | Page 235
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