Athletics Maths
Maths in athletics: track geometry
Spot straights, curves and lanes.
Quick answer
Maths in athletics: track geometry helps you understand how the shape and layout of a running track uses maths to make races fair and safe for all athletes. You can spot straights, curves, and lanes using shapes, measurements, and angles.Learning outcome
By the end of this page, you will be able to identify and describe the straight and curved parts of a running track, and explain how lanes are numbered and spaced using basic geometry. Success signs:- You can point to the straight parts and curved parts of a track
- You can explain why the inside lane is shorter than the outside lane
- You can count the number of lanes and describe how they are arranged
- You can use simple shapes to understand how a track is built
Why this matters
Understanding track geometry helps athletes, coaches, and spectators know how races are set up. It's important for making sure everyone runs the same distance, staying safe, and knowing where to stand or run. Whether you're watching the Olympics, playing football, or just walking around the playground, shapes and measurements help us understand how spaces work. In athletics, knowing track geometry makes races fair and exciting!How it works
A running track is made of two straight sections and two curved sections. These parts come together to form a shape that looks like a rectangle with semicircles on each end. Let’s break it down: 1. Two straight lines at the top and bottom of the track. 2. Two curved lines at the sides, each forming half a circle. 3. Lanes are numbered from the inside out, with each lane wider than the one before. 4. Each lane is a different distance because the curves are longer on the outside.Examples you can see
Let’s imagine you are standing at the start of a 400m race. You can see the track clearly: Example 1: Straight sections If you look down the track, you see two straight lines. These are the same length, and they are parallel to each other. Example 2: Curved sections On each side, there are curved parts. These look like half circles. If you were to lay a string along the inside edge of the curve, it would make a semicircle shape. Example 3: Lanes There are usually 8 lanes. The lanes are numbered 1 to 8. Lane 1 is the inside lane, and lane 8 is the outside lane. Each lane is wider than the one before it, so the outside runners have to run a longer distance. Example 4: Measuring distances If you walk around the inside of the track, you might walk 300m. If you walk around the outside, you might walk 320m. That’s because the outside lane is longer due to the curve.Try it as a mini adventure
Adventure: Track Geometry Detective You are a track geometry detective! You are going to explore a local athletics track and find out: 1st time: Look for the two straight lines. Can you see them? 2nd time: Find the two curved sections. Are they the same size? 3rd time: Count the lanes from the inside out. 4th time: Measure the width of one lane with a tape measure or steps. 5th time: Walk around the inside lane and then the outside lane. Which is longer? 6th time: Draw a simple sketch of the track showing straight lines, curves, and lanes. Challenge: If the inside lane is 300m and the outside lane is 320m, how much longer is the outside lane? Answer: 320m – 300m = 20m longer.Common mistakes
- Mistake: Thinking that all lanes are the same distance. Why it happens: Not understanding that curves get longer as you go outwards. Fix: Use a string or rope to measure the curves of different lanes to see how the distance changes.
- Mistake: Confusing straight and curved sections. Why it happens: Not paying attention to the shape of the track. Fix: Look closely at the edges – straight lines are flat, curves are rounded.
- Mistake: Thinking that lane 1 is the farthest from the middle. Why it happens: Misunderstanding how lanes are numbered. Fix: Remember: lane 1 is the inside lane, the closest to the middle of the track.
Parent and carer guide
Parents and carers can help by:- Going to a local athletics track together and pointing out straight and curved parts
- Using a tape measure or steps to show how lanes are spaced
- Playing the “track detective” game during walks or visits to sports centres
- Encouraging children to draw or build a model of a track using shapes
- Reinforcing that lanes are numbered from the inside out, not the outside in
Practice questions
- How many straight sections are there on a standard athletics track?
- What shape do the curved parts of a track form?
- Why is the outside lane longer than the inside lane?
- Which lane is the shortest on a track?
- If the inside lane is 300m and the outside lane is 310m, how much longer is the outside lane?
- Two straight sections
- Semicircles
- Because the curves are longer on the outside
- Lane 1 (the inside lane)
- 10m longer
FAQ
What is a standard athletics track made of?
A standard athletics track is made of two straight lines and two curved sections that form semicircles. These parts combine to make a shape that looks like a rectangle with semicircles on each end.
How many lanes are there on a typical track?
Most standard tracks have 8 lanes, numbered from 1 (inside) to 8 (outside).
Why do runners in different lanes have to start at different places?
Because each lane is a different distance, runners in outside lanes start further ahead so they all run the same distance.
Can you measure the distance of a lane?
Yes! You can walk or run around a lane and use a measuring tape or a pedometer to see how far it is.
How can I practice track geometry at home?
You can draw a track, use blocks or toys to build lanes, or even use a piece of string to measure curved parts of a track.