A) \[24\,\,{{\sin }^{-1}}\left( \frac{4}{5} \right)\]
B) \[25\,\,{{\sin }^{-1}}\left( \frac{4}{5} \right)\]
C) \[2+\frac{25}{2}{{\sin }^{-1}}\left( \frac{4}{5} \right)\]
D) None of these
Correct Answer: C
Solution :
Required area \[=\int_{0}^{4}{\sqrt{(25-{{x}^{2}})}}dx-\int_{0}^{2}{\frac{4-{{x}^{2}}}{4}}dx-\int_{2}^{4}{\frac{{{x}^{2}}-4}{4}}dx\]You need to login to perform this action.
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