The area of the region that is common to the circle $x^2+y^2=16 a^2$ and the parabola $y^2=6 a x$ is

1. $\frac{4 a^2}{3}(4 \pi+\sqrt{3})$
2. $\frac{2 a^2}{3}(3 \pi+\sqrt{3})$
3. $\frac{4 a^2}{3}(2 \pi+\sqrt{2})$
4. $\frac{2 a^2}{3}(2 \pi+\sqrt{3})$

Solution

Asked in: AP EAMCET 2017 (25 Apr Shift 2)

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