Total cost of fencing a circular field = Rs. 11880
Cost of fencing per meter = Rs. 36
\(= \frac{11880}{36}\)
= 330
Here, Total length of the field would be circumference of the circular field.
Total length = Circumference of circular field
\(330 = 2\pi r\)
\(2 \times \frac{22}{7} \times r = 330\)
\(\frac{44 \times r}{7} = 330\)
\(r = \frac{330 \times 7}{44}\)
r = 52.5 m
Now,
Area of circular field = \(\pi r^2\)
\(= \frac{22}{7} \times (52.5)^2\)
\(= \frac{22}{7} \times 52.5 \times 52.5\)
= 22 x 7.5 x 52.5 m2
= 8662.5 m2
Now, Cost of ploughing 1 m2 of the field = Rs 0.60
Cost of ploughing 8662.5 m2 of the field = Rs. 0.60 x 8662.5 = Rs. 5197.5
Hence, cost of ploughing the field = Rs. 5197.5