Question

The cost of fencing a circular field at the rate of ₹ 240 per meter is ₹ 52,800. The field is to be ploughed at the rate of ₹ 12.50 per m². Find the cost of pouching the field.

Answer 1

Let the radius of the field is r meter.

Therefore circumference of the field will be 2πr meter.

Now the cost of fencing the circular field is 52,800 at rate 240 per meter.

Therefore,
2πr. 240 = 52800

r = `[ 52800 xx 7 ]/[ 2 xx 240 xx 22 ]`

r = 35
Thus the radius of the field is 35 meter.

Now the area of the field will be :
πr2 = `( 22/7 )`.35² = 3850 m²

Thus the cost of ploughing the field will be:
3850 x 12.5 = 48,125 rupees.