A cord in the form of a square encloses area a cm2. If the same cord is bent in the form of a circle, the area of the circle is Options: A . &nbsp \(\frac{\pi a^{2}}{4}\) B . &nbsp \(\frac{\pi a^{3}}{4}\) C . &nbsp \(\frac{a}{4\pi}\) D . &nbsp \(\frac{4a}{4\pi}\)

A cord in the form of a square encloses area a cm2. If the same cord is bent

Question

A cord in the form of a square encloses area a cm2. If the same cord is bent in the form of a circle, the area of the circle is

Options:

A . \(\frac{\pi a^{2}}{4}\)

B . \(\frac{\pi a^{3}}{4}\)

C . \(\frac{a}{4\pi}\)

D . \(\frac{4a}{4\pi}\)

Answer: Option D

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