SOLUTION: Runners running on a curved track starting point are staggered. This is so each runner runs the same distance to the finish line. If the radius of the inside is x and each lane is

Question 936492: Runners running on a curved track starting point are staggered. This is so each runner runs the same distance to the finish line. If the radius of the inside is x and each lane is 2.5 feet wide, how far apart should the officials start the runners in the two inside lanes?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let's look at the distance once around.
For the inside radius, x, the circumference would be,

For the next lane at radius, x+2.5, the circumference would be,

So the next lane would run an additional 5 pi to get to the same point.
So if you stagger the inside runner back feet, they would run the same distance.
So every lane would be staggered feet from the lanes around it, clockwise going inwards, counterclockwise going outwards (assuming the race is counterclockwise).

RELATED QUESTIONS
Runners running on a curved track starting point is staggered. This is so each runner... (answered by ankor@dixie-net.com)

2 runners are running a track one runner runs it in 24 min, the other runner in 36... (answered by ankor@dixie-net.com,checkley77)

Greetings. Anthony Vandorpe here I am working on a math word problem in the category... (answered by stanbon)

Two runners start running at the same time from start/finish line of a 400 meter oval... (answered by ankor@dixie-net.com)

A long distance runner runs 2 miles south and then 4 miles east. How far is the runner... (answered by reviewermath)

Please help me solve this word problem: Two runners start out from the same spot on an (answered by Alan3354)

Two long distance runners start from the same point on a quarter-mile oval track. Alex... (answered by josgarithmetic,ikleyn)

A runner starts at the beginning of a runners' path and runs at a rate of 6 miles per... (answered by rfer)

A runner starts at the beginning of a runners� path and runs at a constant rate of 5... (answered by josmiceli)