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Question

The cost of fencing a circular field at the rate of Rs 25 permetre is Rs 5500. The field is to be ploughed at the rate of 50 paise per m^2. Find the cost of ploughin the field. [Take π = \frac{22}{7}]


Solution

c i r c u m f e r e n c e space equals fraction numerator t o t a l space cos t space o f space f e n c i n g over denominator r a t e space o f space f e n c i n g end fraction equals 5500 over 25 equals 220

let r be the radius of circle

Circumference = 220

⇒2Πr = 220

⇒ r = 35 cm

Now

Now,

Area of field=�r squared equals 22 over 7 cross times 35 cross times 35 equals 3850 cm squared

Cost of plugging = Rate x Area of field = 0.5 x 3850 = Rs 1925

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


 

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