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Find the area of the shaded field shown ...

Find the area of the shaded field shown in figure.

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In a figure, join ED
From figure radius of semi-circle DFE. R = `6-4= 2m`
Now, area of rectangle ABCD = `BC xx AB = 8 xx 4 = 32m^(2)`
and area of semi-circle DFE = `(pir^(2))/(2)= (pi)/(2)(2)^(2)= 2pim^(2)`
`:.` Area of shaded region = Area of rectangle `ABCD +` Area of semi-circle DFE
= `(32+2pi)m^(2)`
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