Answer:
6.28 m
Explanation:
You want the amount of head start a runner on the outside lane needs to fairly compete with the runner on the inside lane on a circular track with lane radii of 51 and 50 m, respectively.
Circumference
The circumference of the circle with radius r is ...
C = 2πr
The difference in circumference for the different radii will be ...
∆C = 2π(51 m) -2π(50 m) = 2π(51 -50) m = 2π m ≈ 6.28 m
The runner in the outside lane should have a 6.28 meter head start.