# The cost of fenci

Given:

Rate of fencing a circular field = Rs. 25/m

Cost of fencing a circular field = Rs. 5500

Rate of ploughing the field = 50p/m2 = Rs. 0.5/m2

Let the radius of circular field be ‘r’ and the length of the field fenced be ‘x’ m.

Then, 25 × x = 5500

x = = 220 m

Circumference of circular field = 2πr

220 = 2πr

220 = 2 × × r

r =

r = 35 m

Area of the circular field = πr2

= × 35 × 35

= 22 × 5 × 35

= 3850m2

Now, cost of ploughing the field = Rate of ploughing the field × Area of the field = 0.5 × 3850

= Rs. 1925

Hence, the cost of Ploughing the field is Rs. 1925.

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The cost of fenciRS Aggarwal - Mathematics