The cost of fencing a circular field at the rate of Rs.36 per metre is Rs.11880. The field is to be ploughed at the rate of Rs. 0.60 per sq.m. Find the cost of ploughing the field.
Answers
Answer:
Rs. 5,197.5
Step-by-step explanation:
Rate of fencing per metre = Rs. 36
Cost of fencing a circular field
at the rate of Rs.36 per metre = Rs.11880
Now, the circumference of circle = 11880/36
= 330 metre
We know that the circumference
of circle = 2 pie R ( R = Radius )
Circumference = 2 pie R = 330 metre
22
2 × ------ × R = 330
7
7 × 330
R = -------------
2 × 22
R = 52.5 metre
Therefore, the area of circle = pie R square
22
= ------ × 52.5 × 52.5
7
Area = 8,662.5 square metre
Now, cost of ploughing the field
at the rate of Rs. 0.60 per sq.m = 8,662.5 × 0.60
= Rs. 5,197.5