| In the following figure, O is the centre of the circle. The area of the sector OAPB is \[\frac{5}{12}\] part of the area of the circle. Find the value of x. |
 |
A) \[130{}^\circ \]
B) \[60{}^\circ \]
C) \[45{}^\circ \]
D) \[150{}^\circ \]
Correct Answer: D
Solution :
| [d] Given, area of sector \[OAPB=\frac{5}{12}\times \]Area of circle |
| \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\frac{x}{360{}^\circ }\times \pi {{r}^{2}}=\frac{5}{12}\times \pi {{r}^{2}}\,\,\Rightarrow \,\,\,x=150{}^\circ \] |
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