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Question
In the given figure, the side of square is 28 cm and radius of each circle is half of the length of the side of the square where O and O' are centres of the circles. Find the area of shaded region.
Solution
We have,
Side of square = 28 cm and radius of each circle = `28/2` cm
Area of the shaded region
= Area of the square + Area of the two circles − Area of the two quadrants
`= (28)^2 + 2 xx pi xx (28/2)^2 - 2 xx 1/4 xx pi xx (28/2)^2`
`= (28)^2 + 3/2 xx pi xx (28/2)^2`
`= (28)^2 (1 + 3/2 xx 22/7 xx 1/2 xx 1/2)`
`= (28)^2 xx 61/28`
`= 28 xx 61`
`= 1708 cm^2`
Therefore, the area of the shaded region is 1708 cm2
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