Question

The cost of fencing a circular race course at the rate of 8 per metre is rs 2112 find the diameter of The race course

Answer 1

If the cost of fencing a circular racecourse at the rate of Rs. 8 per meter is Rs. 2112, then the diameter of the racecourse is 84 meter.

Step-by-step explanation:

The cost of fencing a circular racecourse per meter = Rs. 8

The total cost of fencing the entire circular racecourse = Rs. 2112

We know that the fencing is usually done on the boundary of the circular field, so here we need to find the circumference of the circular racecourse which is given by,

Circumference

= [Total cost of the fencing] / [Cost of fencing per meter]

= 2112/8

= 264 m

Also, Circumference of circle = 2πr

Therefore, we have

2πr = 264

⇒  2 * (22/7) * r = 264

⇒ r = [264 * 7] / [2 * 22]

⇒ r = 1848 / 44

⇒ r = 42 m

Thus,  

The diameter of the racecourse is,

= 2*r

= 2 * 42

= 84 m

Hope this is helpful!!!!!