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Question

Find the area of the shaded region. (Use π=3.14)
1377681_a535183192ef464da5e79aba2f86fd70.PNG

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Solution

Area of square ABCD=14×14=196sq.cm
Radius of the semi-circle formed inside=2cm
Area of 4 semi-circles=4×12πr2
=2×3.14×2×2=25.12sq.cm
Length of the side of square formed inside the semi - circles =4 cm.
Area of the square =4×4=16sq.cm
Area of the shaded region=Area of square ABCDArea of 4 semi-circles+Area of square
=196(25.12+16)=19641.12=154.88sq.cm

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