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प्रश्न
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.
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उत्तर
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.
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