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

Class 12

Math

Calculus

Application of Integrals

568
150

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
568
150

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