Find the area of the circle 4x2 + 4y2 = 9 which is interior to the parabola x2 = 4y.


It is given that of circle, 4x2 + 4y2 = 9 and parabola x2 = 4y.


On solving the above two equations, we get the point of intersection



We can see that the required area is symmetrical about y axis.


Thus, Area OBCDO = 2 × Area OBCO


Let us draw BM perpendicular to OA.


The coordinates of M are (, 0).


Then, Area OBCO = Area OMBCO – Area OMCO









Therefore, the required area OBCDO is


units


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