A) \[11\,cm\]
B) \[22\,cm\]
C) \[44\,cm\]
D) \[55\,cm\]
Correct Answer: C
Solution :
| [c] Let the radius of the circle be r cm. |
| Given, Area of a circle \[=154\,c{{m}^{2}}\] |
| \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\pi {{r}^{2}}=154\] |
| \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{22}{7}{{\pi }^{2}}=154\] |
| \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{r}^{2}}=\frac{154\times 7}{22}={{(7)}^{2}}\] |
| \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\pi =7\,cm\] |
| So, Perimeter (Circumference) of Circle |
| \[=2\pi r\] |
| \[=2\times \frac{22}{7}\times 7=44\,cm\] |
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