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The cost of ploughing a circular field at the rate of Rs 0.75 per m2 is Rs.4158. Find the cost of fencing the field at the rate of Rs.30 per metre.

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Let radius of circular field be rm.

∴ Area of circular field is π r2m2.

∴ Cost of ploughing circular field at the rate of Rs 0.75 per 

m2 = πr2x Rs 0.75 = Rs (3/4 πr2)m2

∴ 3/4 πr= 4158 (∵ Given cost = Rs 4158)

= r2 = 4158 x 4/3 x 7/22 ( ∵ π = 22/7)

= r2 = 63 x 4 x 7

= 9 x 7 x 4 x7

= 32 x 22 x 72

= (3x2x7)2

= 422

= r = 42 m

∴ Perimeter of circular field is P = 2 πr

= 2 x 22/7 x 42 = 264 m

∴ Cost of fencing the field = Rs 30 per meter

∴ Cost of fencing the circular field 

= Rs (264 x 30)

= Rs 7920

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