A) \[\frac{\pi }{2}-\frac{2}{3}\]
B) \[\frac{\pi }{2}+\frac{2}{3}\]
C) \[\frac{\pi }{2}+\frac{4}{3}\]
D) \[\frac{\pi }{2}-\frac{4}{3}\]
Correct Answer: C
Solution :
[c] Area = semicircle + 2(area of arc OAB) \[=\frac{\pi \times {{1}^{2}}}{1}+2\int\limits_{0}^{1}{\sqrt{1-x}dx=\frac{\pi }{2}-2\left( \frac{{{(1-x)}^{3/2}}}{3/2} \right)_{0}^{1}}\] \[=\frac{\pi }{4}+\frac{4}{3}\]You need to login to perform this action.
You will be redirected in
3 sec