Math, asked by swtshreya4438, 10 months ago

The cost of fencing a circular Race Course at the rate of ₹8 per meter is ₹2112. Find the diameter of the race course

Answers

Answered by bhagyashreechowdhury
23

If the cost of fencing a circular Race Course at the rate of ₹8 per meter is ₹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!!!

Answered by obedaogega
1

Answer:

The answer is 84 metres

Step-by-step explanation:

as per the problem

step 1: identification of the number of meters that would cost Rs 2112 if it costs only Rs 8 per metre. therefore ;

                                        => (Rs 2112 /rs 8)m

                                             =264 Metres

fencing 264 metre of the race course would cost Rs 2112.

step 2: Equating the number of meters fenced to the formula of getting the circumference(the distance round a circle) round the circular race course in order to obtain its diameter .

                             => circumference= π× diameter of the circle

          the distance round the whole course is 264m  thus circumference is equal to 264 m    

                                  =>  264 =π x Diameter (π=22/7)

                                            Diameter = 84 metres

thus the diameter of the race course will be 84 metres.

Maths is fun!

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