How much are you running if you run 4 laps on the track in lane 8?

just measure the distance from the lane 1 starting line to the lane 8 line.... my guess is about 20 meters

Well it's easy to solve that problem...

The only distance you add up is due to the curves (Because the lanes have a width of 1 meter). So I'll just give you final answer (it's elementary geometry you can deduce it by yourself) the distance that you add each lap (in meters) can be given by the following equation

D_n = 400 + 2*PI*(n-1);

n- Stands for the lane where you run.

so running in lane 1

D_1 = 400+ 2*PI*(1-1) = 400m

you have 400m

lane 2 - 406.28m

lane 3 - 412.56m

lane 4 - 418.84m

lane 5 - 425.12m

lane 6 - 431.41m

lane 7 - 437.68m

lane 8 - 443.96m

I hope it's usefull.

Cheers

you'd have to multiply that distance by the 4 laps. measuring the distance in start lines would assume you "break" into lane 1 after the first lap.

yea-huh wrote:

just measure the distance from the lane 1 starting line to the lane 8 line.... my guess is about 20 meters

Quesiton.... wrote:

So in lane 1, obviously you're running 1600 m. What about lane 8? And what about, 2, 3, 4, etc. is there some sort of number you can just add as you go to a farther lane?

I'd guess a little over a mile.

this reminds me of a fun little factoid.....

if you run all the way round the equator of the earth (assume it's a perfect sphere and ignore the fact that there are oceans etc) you would run X miles. if you ran around the equator of the earth on an elevated track that was 1 meter above the ground, you would obviously run further. but, how much further?

answer is only 2 Pi meters - following same equation as above (except 400meters becomes X miles)

seems hard to believe but it is true that the extra is just the same as between lane 1 and 2