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In the Given Figure, Find the Area of the Shaded Region, If Abcd is a Square of Side 14 Cm and Apd and Bpc Are Semicircles. - Mathematics

Sum

In the given figure, find the area of the shaded region, if ABCD is a square of side 14 cm and APD and BPC are semicircles.

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Solution

Area of the shaded region = Area of Square ABCD − (Area of semicircle APD + Area of semicircle BPC)

`=(14)^2 = [1/2 pi(14/2)^2 + 1/2pi(14/2)^2]`

`=(14)^2 - 22/7(7)^2`

= 42 cm

Hence, the area of the shaded region is 42 cm2.

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 31 | Page 821
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