Question

the cost of fencing a circular field at the rate of ₹ 26 per m is 5720. the field is to be ploughed at the rate of ₹0.50 per m ² . the circumference of the field is ​

Answer 1

Answer:

Step-by-step explanation:

We have,

Rate of fencing = Rs 24 per metre and, Total cost of fencing = Rs 5280

Length of the fence =  

Rate

Total cost

​

=  

24

5280

​

 m =220 m

⇒Circumference of the field =220 m

⇒2πr=220, where r is the radius of the field

⇒2×  

7

22

​

×r=220  

⇒r=  

22×2

220×7

​

=35 m  

∴ Area of the field =πr  

2

 

⇒ Area of the field =  

7

22

​

×35×35m  

2

=22×5×35m  

2

 

It is given that the field is ploughed at the rate of Rs 0.50 per m  

2

 

∴ Cost of ploughing the field = R s   (22×5×35×0.50)= r s  1925