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Smaller area enclosed by the circle x^2...

Smaller area enclosed by the circle `x^2+y^2=4`and the line `x + y = 2`is(A) `2(pi-2)` (B) `pi-2` (C) `2pi-1` (D) `2(pi+2)`

Text Solution

Verified by Experts

required area=area of triangle OAB -(1/4) area of circle
=`|1/2*2*2-pi*4/4|`
=`|2-pi|`
=`pi-2 unit^2`
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