Application of Integrals
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