A wire can be bent in the form of a circle of radius 56 cm. If it is bent in the form of a square, then its area will be :

A. 3520 cm²

B. 6400 cm²

C. 7744 cm²

D. 8800 cm²

Answer: Option C

Solution(By Examveda Team)

Length of wire :
$$\eqalign{ & = 2\pi \times R \cr & = \left( {2 \times \frac{{22}}{7} \times 56} \right)cm \cr & = 352\,cm \cr} $$
Side of the square :
$$\eqalign{ & = \frac{{352}}{4}\,cm \cr & = 88\,cm \cr} $$
Area of the square :
$$\eqalign{ & = \left( {88 \times 88} \right)c{m^2} \cr & = 7744\,c{m^2} \cr} $$