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Question
Find the area of the shaded part in the following figure. (π = 3.14)
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Solution
Area of the shaded part = Area of 4 quadrant circles of radius `10/2` cm
= `4 xx 1/4 xx pi"r"^2`
= `3.14 xx 10/2 xx 10/2 "cm"^2`
= `314/4 "cm"^2`
= 78.5 cm2
Area of the shaded part = 78.5 cm2
Area of the unshaded part = Area of the square – Area of shaded part
= a2 – 78.5 cm2 = (10 × 10) – 78.5 cm2
= 100 – 78.5 cm2 = 21.5 cm2
Area of the unshaded part = 21.5 cm2 ...(approximately)
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