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Question
Find the area of the shaded field shown in figure.
Solution
In a figure, join ED
From figure, radius of semi-circle DEF, r = 6 – 4 = 2 m
Now, area of rectangle ABCD = BC × AB = 8 × 4 = 32 cm2
And area of semi-circle DFE = `(π"r"^2)/2 = π/2 (2)^2` = 2π m2
∴ Area of shaded region = Area of rectangle ABCD + Area of semi-circle DFE
= (32 + 2π) m2
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