Posted by **Raheem** on Friday, December 9, 2011 at 12:44am.

The track coach plans to make 8 lanes each 1-meter wide on the running track. The track measures y meters along the inside curb. The track has straight parallel sides and semicircular ends. If the runners in a race lined up at the same spot and stayed in their own lanes throughout the race, they would not run the same distance. To make the race even, by how much should each lane be staggered?

- math -
**Steve**, Friday, December 9, 2011 at 11:35am
Without knowing the radius of the semicircular ends, this can't be solved. However, given that the radius is r on the inside lane, the circular part of the lane has circumference 2πr. The straight part is the same length for each lane.

So, the radii for the lanes are

r, r+1, r+2 ... r+7

Thus each lane is 2π meters longer than the one inside it.

## Answer This Question

## Related Questions

- Math - A running track has 8 lanes each a meter wide.Each"straight" is 100 ...
- maths - the inside perimeter of a running track shown in figure is 400m the ...
- Math - A running track is designed with two semicircular ends and two parallel ...
- Physic - Can someone help me with this problem please. An indoor running track ...
- geometry - An oval indoor running track with semicircular ends has the ...
- geometry - a racing track whose left and right ends are semicircular . the ...
- physics - A 4.74 kg spherical ball with radius 1.4 cm rolls on a track with a ...
- physics - A 4.74 kg spherical ball with radius 1.4 cm rolls on a track with a ...
- MATH 156 - The inside lane in the track is 50m and the outside of the track is ...
- Math - The javelin event is held on the field inside the track. This field is a ...

More Related Questions