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The cost of fencing a circular field at the rate of Rs. 24 per metre is Rs. 5280. The field is to be ploughed at the rate of Rs. 0.50 per m2. Find the cost of ploughing the field.

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Best answer

Total cost of fencing a circular field = Rs 5280

Cost of fencing per meter = Rs 24

So,

The total length of the field = The total cost of fencing/cost of fencing per meter

= 5280/24

= 220 m

Here, the total length of the field would be the circumference of the circular field.

∴ Total length = Circumference of circular field

⇒ 220 = 2πr

= 3850m2

Now,

Cost of ploughing 1m2 of the field = Rs 0.50

Cost of ploughing 3850m2 of the field = Rs 0.50 × 3850

= Rs 1925

Hence, the cost of ploughing the field is Rs 1925

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