A) Rs 5197.5
B) Rs 866.25
C) Rs 10395
D) None of these
Correct Answer: A
Solution :
Length of the fence of a circular field \[\frac{Total\text{ }cost}{Rate}=\frac{11880}{36}\] =330m So, the circumference of the field is 330 m. Let r be the radius of the field, then \[\therefore \,\,\,2\pi r=330\] [\[\because \] circumference of circular field \[=2\pi r\]] \[\Rightarrow \,\,\,2\times \frac{22}{7}\times r=330\] \[\Rightarrow \,\,r=\frac{330\times 7}{2\times 22}=52.5\,m.\] So, the radius of the field is 52.5 m. Now, area of the field \[=\pi {{r}^{2}}\] \[=\frac{22}{7}\times 52.5\times 52.5\] \[=22\times 7.5\times 52.5{{m}^{2}}\] Given, cost of ploughing \[1{{m}^{2}}\]of the field = Rs 0.60 So, total cost of ploughing the field \[=0.6\times 22\times 7.5\times 52.5=Rs\,5197.5\]
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