Radian Ferris Wheel

[PhilOfPerth]

I had a go a while back at explaining what pi was, using a "circular" shape with increasing numbers of arcs, from 3 to 1000, and summing the lengths of the arcs until they reached 6.28... but I eventually gave up (temporarily?).

Maybe someone cleverer than me will do this (hint, hint)?

Pi is a ratio of the diameter of a circle to the circumference of a circle: d * Pi = circumference
since radius is 1/2 diameter 2 * r * Pi = circumference

If radius is 1, a unit circle they call it, the radian measure = the circumference of the arc
A unit circle (360 degrees) has  2 *Pi circumference ( 2 * 1 * Pi)
Half a unit circle (180 degrees) has Pi circumference (2 * Pi * 1/2)
1/4 unit circle (90 degrees) has Pi/2 circumference as is Pi/2 radians ( 2 * Pi * 1/4)

so 1/n unit circle is 2 * Pi * 1/n radians.

Thanks bplus. You've encouraged me to "have another go".
I sorta knew most of that, but hadn't quite worked out how to apply which bits for my prog. You cleared the cloud a little.