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Find the area of the shaded region in Fi...

Find the area of the shaded region in Fig. 12.16, where ABCD is a square of side 14 cm.

Text Solution

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ABCD is the sqaure
length of the square= `2*dia`= 4*radius of the circles
r`=14/4`cm= `3.5`
area of shaded region= area of square ABCD- area of four circles
= side*side- 4*area of circle
`=14^2- 4pi r^2`
`= 14^2 - 4*22/7*3.5*3.5`
`= 14^2-2*22*3.5`
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