x^{2} + y^{2} = 4 .........(i)

and (x - 2)^{2} + (y - 0)^{2} = 4.......(ii)

Clearly from eq. (i)

x^{2} + y^{2} = 4

x^{2} + y^{2} = 2^{2}

represents a circle with centre (0, 0) and radius 2. To find the points of intersection of the given curves, we solve (i) and (ii) simultaneously.

Solving eqns. (i) and (ii), we find that the two curves

Required Area