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Question

ABCDEF is a jogging track, in which area of the semi-circle BCD is 5000πm2. If OO' is 100πm, Find the area of the shaded region.


A


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B


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C


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D


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Solution

The correct option is A



Area(BCD)=5000πm2
Radius =πr22=5000π
So, r=100πm
DE = r+ OO' + r
=2r+100π=300π
Area of the shaded region = Area of rectangle ABCD - 2(Area of semi-circle BCD)
Area of the shaded region = 300π×2r(10000π)10000π[6π1]m2

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