Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to t | Filo
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Class 12

Math

Calculus

Application of Integrals

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Find the area of the circle which is interior to the parabola .

Solution: The required area is represented by the shaded area .
Solving the given equation of circle, , and parabola, , we obtain the point of intersection as and .
It can be observed that the required area is symmetrical about -axis.

Area

We draw perpendicular to .

Therefore, the coordinates of M are .

Therefore, Area Area - Area















Therefore, the required area is

sq. units
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