Question

the cost of fencing a circular field at the rate of 1 24 per metre is 1 5280 the field it to be ploughing at the rate of 1 0.50 per m2 find the cost of ploughing the field (π=_22 7)​

Answer 1

Answer:

1925

Step-by-step explanation:

For Rs.24, then length of fencing =1m

For Rs.52 so, the length of fencing

=

24

1

×5280=220meters

Circumference of the field =220m

2pr=220

Therefore r=

44

220×7

=35m

Area of the field =πr

2

π(35)

2

=1225

Cost of ploughing =Rs.0.50 per m

2

Total cost of ploughing the field =Rs.1225

=

7×2

1225×22×1

=Rs,1925.

Hence, the answer is 1925.

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Answer 2

Answer:

Length of the fence (in metres) = Total cost / Rate = 5280/24 = 220

So, circumference of the field = 220 m

Therefore, if r metres is the radius of the field, then

2πr = 220

or, 2 × 22/7× r = 220

or, r = (220 × 7)/(2 × 22) = 35

i.e., radius of the field is 35 m.

Therefore, area of the field = πr2 = 22/7 × 35 × 35 m2 = 22 × 5 × 35 m2

Now, cost of ploughing 1 m2 of the field = Rs 0.50

So, total cost of ploughing the field = Rs 22 × 5 × 35 × 0.50 = Rs 1925