A) \[154\text{ }c{{m}^{2}}\]
B) \[77\text{ }c{{m}^{2}}\]
C) \[44\text{ }c{{m}^{2}}\]
D) \[22\text{ }c{{m}^{2}}\]
Correct Answer: A
Solution :
| [a] Let a be the side of square. |
| \[{{a}^{2}}=81\Rightarrow a=9\,cm\] |
| \[\therefore \] Perimeter of square \[=4\times 9=36m\] |
| \[\therefore \] Length of wire \[=36\,m\] |
| \[\Rightarrow \] \[\pi r+2r=36\] |
| \[\Rightarrow \] \[r=\frac{36\times 7}{36}=7cm\] |
| \[\therefore \] Area of circle \[=\,\,\pi {{r}^{2}}=\frac{22}{7}\times 7\times 7=154\,c{{m}^{2}}\] |
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