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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 m^{2}. Find the cost of pouching the field.

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#### Solution

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 )`.35^{2 }= 3850 m^{2}

Thus the cost of ploughing the field will be:

3850 x 12.5 = 48,125 rupees.

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