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 :
Options:
A . 15200 m2
B . 15300 m2
C . 15400 m2
D . 15500 m2
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 $$\eqalign{ & 2\pi R = 440 \cr & \Rightarrow R = \frac{{440 \times 7}}{{2 \times 22}} = 70\,m \cr} $$ ∴ Area of the circular field : $$\eqalign{ & = \left( {\frac{{22}}{7} \times 70 \times 70} \right){m^2} \cr & = 15400\,{m^2} \cr} $$
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