Question

The cost of fencing a circular field @of rupees 24 per metre is rupees 5280. the field is to be ploughed at the rate of rupees 0.50 per metre square. find the cost of ploughing the field.

Answer 1

Given the cost of fencing the circular field at the rate of Rs 24 per m is equal to Rs 5280.

Total length of fencing done 

As the field is circular so the length of fencing is equal to the circumference of circle.



Now, the cost of ploughing the field per m2 = Rs 0.5 

Total area of circular field 

So, total cost of ploughing the field 



Answer 2

Answer:

Rate × Circumference = Cost

24 × 2πr =5280

$r = \frac{5282}{24} \times \frac{7}{2 \times 32}$

= 35cm

$area \: of \: circle = { \gamma r}^{2} \\ = \frac{22}{7} \times 35 \times 5$

= 22×35×5

= 3850

cost = Rate × Area

=0.5 × 3850

= 1325