Find the area of the region enclosed between the circles x^2+y^2=1 | Filo
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Class 12

Math

Calculus

Application of Integrals

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Find the area of the region enclosed between the circles and .

Solution: is a circle with its center at and radius unit.
And, is a circle with its center at and radius unit.
The given equations are,
        ---- ( 1 )
         ---- ( 2 )
Using equations ( 1 ) and ( 2 ), we get
Substituting value of in ( 1 )we get,
So, the circles intersect at and
Required area Area
                         
                         



         
                                                                     






sq. units
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