Q. 185.0( 1 Vote )

Using integration

Answer :



First, let us find the intersection points of the curve,


Given Equations are x2 + y2 = 4 and x2 + y2 – 4 x = 0.


From both of the equations,


4 x = 4


x = 1


Putting this value in x2 + y2 = 4, we get,


1 + y2 = 4


y2 = 3


y = ±√3


Thus the curves intersect at A(1, √3) and B(1, - √3)


The area to be found is shaded in the figure above.


Area of Shaded region =





Area of Shaded region = square units.

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