How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?
A
3
B
4
C
5
D
6
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
In terms of distance, a circle has a total distance or perimeter of 2\pir or \pid
Where r is radius and d is the diameter
So perimeter = \(\frac{22}{7}\) x 100
= 314.2857m
To cover a distance of 1000m, he is going to round the circular track for \(\frac{1000}{314.2857}\) = 3.18
\(\approxeq\) 3 (to the nearest whole number)
Source: Myschool Past Questions Archive (Record #47004)