Question

What must be the radius of a circular running path ,around which an athlete must run 5 times in order to describe 1 km?

Answer 1

2πr
200=2×1.34×r
200÷2.68=r
r =72.627
radius is 72.627 m
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Answer 2

Answer:

The radius is 31.83 meters.

Step-by-step explanation:

Let the radius of the sphere is r.

The circumference of the circle is $C=2\pi r$

Now, the athlete runs 5 times this circular track. It means the total distance traveled is

$5\cdot2\pi r=10\pi r$

This should be equal to 1, Hence, we have

$10\pi r=1\\\\r=\frac{1}{10\pi}\\\\r=0.03183 km=31.83m$

Hence, the radius is 31.83 meters.