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
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!!!
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!