question_answer

A cord in the form of a square encloses the area 'S'\[\text{c}{{\text{m}}^{\text{2}}}\]. If the same cord is bent into the form of a circle, then the area of the circle is

A)  \[\frac{\pi {{S}^{2}}}{4}\]                            

B)         \[4\,\pi \,{{S}^{2}}\]

C)  \[\frac{S}{4\pi }\]                           

D)         \[\frac{4S}{\pi }\]