A) \[264\,\,{{\text{m}}^{2}}\]
B) \[1464\,\,{{\text{m}}^{2}}\]
C) \[2464\,\,{{\text{m}}^{2}}\]
D) \[4264\,\,{{\text{m}}^{2}}\]
Correct Answer: C
Solution :
\[\therefore \]Perimeter of square = One side of square\[\times 4\] \[\therefore \]One side of square \[\text{=}\frac{\text{perimeter}\,\,\text{of}\,\text{square}}{\text{4}}\] \[=\frac{112}{4}=28\,\,\text{m}\] From question, radius of circle = 28 m So, area of circle \[=\pi {{r}^{2}}=\frac{22}{7}\times 28\times 28=2462\,\,{{\text{m}}^{2}}\]
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