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 :

A. 15200 m²

B. 15300 m²

C. 15400 m²

D. 15500 m²

Answer: Option C

Solution(By Examveda Team)

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
$$\eqalign{ & 2\pi R = 440 \cr & \Rightarrow R = \frac{{440 \times 7}}{{2 \times 22}} = 70\,m \cr} $$
∴ Area of the circular field :
$$\eqalign{ & = \left( {\frac{{22}}{7} \times 70 \times 70} \right){m^2} \cr & = 15400\,{m^2} \cr} $$