Take a look at the interactivity below which shows regular polygons
"rolling" along the horizontal surface. It leaves a trace of the
path of the red dot and on the graph it records the speed of the
Experiment by positioning the red dot at the centre of the
polygons, at one of the vertices or at the centre of one of the
sides of the polygons and explore how this affects the speed / time
Full Screen Version
If you can see this message Flash may not be working in your browser
Please see http://nrich.maths.org/techhelp/#flash to enable it.
Can you now work out what produced the following speed / time
The rolling polygon had a radius of 30.
Can you work out how many sides it had and where the red dot was
Try to explain how you worked it out.