The perimeter of a circular field and a square field are equal. If the area of the square field is 12100 m2, the area of the circular field will be :

Answer: Option C

Side of the square field = $$\sqrt{12100}$$   m = 110 m
Perimeter of the circle field :
= Perimeter of the square field
= (4 × 110) m
= 440 m
$$\begin{array}{rl}& 2\pi R=440\\ & \Rightarrow R=\frac{440\times 7}{2\times 22}=70m\end{array}$$
∴ Area of the circular field :
$$\begin{array}{rl}& =\left(\frac{22}{7}\times 70\times 70\right)m^2\\ & =15400m^2\end{array}$$