| A copper wire is bent in the form of square with an area of \[121\text{ }c{{m}^{2}}.\] If the same wire is bent in the form of a circle, then the radius (in cm) of the circle is \[\left( \operatorname{take},\pi =\frac{22}{7} \right)\] |
A) 7
B) 10
C) 11
D) 14
Correct Answer: A
Solution :
| Side of square \[=\sqrt{121}=11cm\] |
| \[\therefore \] Length of wire \[=4\times 11=44\text{ }cm\] |
| \[\therefore \] \[2\pi r=44\] |
| \[\Rightarrow \] \[2\times \frac{22}{7}\times r=44\] |
| \[\Rightarrow \] \[r=\frac{44\times 7}{2\times 22}=7\,cm\] |
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