A) \[45\,c{{m}^{2}}\]
B) \[22.5\,c{{m}^{2}}\]
C) \[67.5\,c{{m}^{2}}\]
D) \[2.25\,c{{m}^{2}}\]
Correct Answer: B
Solution :
| [b] \[2\pi r\times \frac{\theta }{360{}^\circ }=9\] |
| \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,2\times \pi \times 5\times \frac{\theta }{360{}^\circ }=9\] |
| \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\theta =\frac{324}{\pi }\] |
| Area swept \[=\pi {{r}^{2}}\times \frac{\theta }{360{}^\circ }\] |
| \[=\pi \times 5\times 5\times \frac{324}{\pi \times 360{}^\circ }\] |
| \[=22.5\,c{{m}^{2}}\] |
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