Question

the cost of ploughing a circular paddy field at the rate of ₹15 per meter is₹6600 . find the area of the field
explain it step by step​

Answer 1

Answer:

440 cm²

Step-by-step explanation:

Let the area be= x

ATQ,

15x= 6600

⇒x= 6600÷15

⇒x=440

The area of the field is hence 440 cm².

Answer 2

Answer: area of the field is 7700 m²

Step-by-step explanation:

Length of the fence (in metres) = Total cost / Rate = 6600/15 = 220

So, circumference of the field = 440 m

Therefore, if r metres is the radius of the field, then

2πr = 440

or, 2 × 22/7× r = 440

or, r = (440 × 7)/(2 × 22) = 70

i.e., radius of the field is 70 m.

Therefore, area of the field = πr2 = 22/7 × 70 × 70 m2 = 22 × 10 × 70 m²

Now, cost of ploughing 1 m2 of the field = Rs 0.50

So, total cost of ploughing the field = Rs 22 × 10 × 70 × 0.50 = Rs 7700m²