A) \[538\frac{2}{7}\,\,\text{c}{{\text{m}}^{2}}\]
B) \[484\,\,\text{c}{{\text{m}}^{2}}\]
C) \[644\,\,\text{c}{{\text{m}}^{2}}\]
D) \[616\,\,\text{c}{{\text{m}}^{2}}\]
Correct Answer: D
Solution :
Side of the square \[=\sqrt{484}\,\,\text{cm}=22\,\,\text{cm}\] Length of the wire \[=4\times 22=88\,\,\text{cm}\] Circumference of circle \[=2\pi r\]\[\Rightarrow \]\[86=2\pi r\] \[\therefore \] \[r=\frac{88\times 7}{22\times 2}=14\,\,\text{cm}\] \[\therefore \] Area of the circle \[=\pi {{r}^{2}}=\frac{22}{7}\times 14\times 14=616\,\,\text{c}{{\text{m}}^{2}}\]
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