A) \[462\,\,\text{c}{{\text{m}}^{2}}\]
B) \[539\,\,\text{c}{{\text{m}}^{2}}\]
C) \[616\,\,\text{c}{{\text{m}}^{2}}\]
D) \[693\,\,\text{c}{{\text{m}}^{2}}\]
Correct Answer: C
Solution :
Let a be the side of square. \[\therefore \] \[{{a}^{2}}=484\] \[\Rightarrow \] \[a=22\] \[\therefore \] Length of wire \[=4\times 22\] \[=88\,cm\] \[\therefore \] Circumference of circle \[=88\] \[\Rightarrow \] \[r=\frac{88\times 7}{2\times 22}=14\,cm\] \[\therefore \] Area of circle \[=\pi {{r}^{2}}\] \[=\frac{22}{7}\times 14\times 14\] \[=616\,c{{m}^{2}}\]
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