Q. 185.0( 1 Vote )

# Using integration 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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