Question

to fence a circular field the total cost is ₹26400 at the rate of ₹50 per meter. F8nd the cost of ploughing the field at the rate of ₹10 per meter square.​
please answer this I'm curious to know the answer

Answer 1

The cost of ploughing the field is 22875.4 Rs.

• To fence a circular field the total cost is Rs. 26400.
• Rate of fencing the field is RS. 50 per meter.
• Now the circumference of the circle will be = Total cost/Rate

• Circumference of the field is = 26400/50 = 528 m.

• Now we have to find the cost of ploughing the field at a rate of RS. 10 per sq. meter.

• We have to find the area of the circular field.

• We obtain radius from the circumference as

Circumference = 2πr

r = 528÷π÷2 = 84.04 m.

Now area of the circular field = πr² = π(84.04)² = 22187.54 sq m.

• Now the rate of ploughing the field is Rs. 10 per sq. m.

• Now the total cost of ploughing the field is 10 × area of the circular field = 10×22187.54 = 221875.4 Rs.