Question

The cost of fencing a circular field at the rate of ₹24 per metre is ₹5280. The field is to be ploughed at the rate of ₹0.50 per m². Find the cost of ploughing the field (Take $\sf{\pi = \frac{22}{7}}$)

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Answer 1

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Answer 2

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■The length of fencing for ₹24=1m

■ So,the length of fencing for ₹52=

$\frac{1}{24} \times 5280 = 220 \: meters$

■ Circumference of the field =220m

2pr=220

Therefore r=44220×7=35m

$r = \frac{220 \times 7}{44} = 35 \: m$

Area of the field =

$=πr2 ^{2}$

$π(35) ^{2} =1225$

■ Cost of ploughing =Rs.0.50 per m2

■Total cost of ploughing the field =Rs.1225

$\frac{1225 \times 22 \times 1}{7 \times 2}$

=Rs,1925.

Hence, the answer is 1925.

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Hope it helps you!!!

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