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. - Mathematics

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Sum

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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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= 3850 m2

Thus the cost of ploughing the field will be:
3850 x 12.5 = 48,125 rupees.

  Is there an error in this question or solution?
Chapter 20: Area and Perimeter of Plane Figures - Exercise 20 (C) [Page 262]

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Selina Concise Mathematics Class 9 ICSE
Chapter 20 Area and Perimeter of Plane Figures
Exercise 20 (C) | Q 21 | Page 262

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