A) \[484\,\,c{{m}^{2}}\]
B) \[538\frac{2}{7}\,\,c{{m}^{2}}\]
C) \[616\,\,c{{m}^{2}}\]
D) \[644\,\,c{{m}^{2}}\]
Correct Answer: C
Solution :
Area of the square \[=484\,\,c{{m}^{2}}\] \[\therefore \] Side of the square \[=\sqrt{484}=22\,cm\] \[\therefore \] Length of the wire = Perimeter of square \[=4\times 22\] \[=88\,cm\] Let the radius of the circle be r cm \[2\pi r=88\] \[\Rightarrow \] \[2\times \frac{22}{7}\times r=88\] \[\Rightarrow \] \[r=\frac{88\times 7}{2\times 22}=14\,cm\] \[\therefore \] Required area \[=\pi {{r}^{2}}\] \[=\frac{22}{7}\times 14\times 14\] \[=616\,c{{m}^{2}}\]
You need to login to perform this action.
You will be redirected in
3 sec
