The cost of fencing a circular field at the rate of Rs. 25 per meter is Rs. 5500. The field is to be ploughed at the rate of 50 paise per m². Find the cost of ploughing the field. [Take π = 22/7]

Question

The cost of fencing a circular field at the rate of Rs. 25 per meter is Rs. 5500. The field is to be ploughed at the rate of 50 paise per m 2 . Find the cost of ploughing the field. [Take π = 22/7]

Philoid · Accepted Answer

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.

The cost of fencing a circular field at the rate of Rs. 25 per meter is Rs. 5500. The field is to be ploughed at the rate of 50 paise per m2. Find the cost of ploughing the field. [Take π = 22/7]

The cost of fencing a circular field at the rate of Rs. 25 per meter is Rs. 5500. The field is to be ploughed at the rate of 50 paise per m². Find the cost of ploughing the field. [Take π = 22/7]