question_answer

The area bounded by the curves \[{{x}^{2}}+{{y}^{2}}=9\]and \[{{y}^{2}}=8x\]is

A)  \[\frac{2\sqrt{2}}{3}+\frac{9\pi }{2}+9{{\sin }^{-1}}\left( \frac{1}{3} \right)\]

B)  \[\frac{2\sqrt{2}}{5}+\frac{9\pi }{2}-9{{\sin }^{-1}}\left( \frac{1}{3} \right)\]

C)  0

D)  \[16\pi \]

E)  None of these