Question

What's the difference between revolutions and radians?

Answer 1

A factor of `2pi`.

One revolution traces out `2pi` radians.

Explanation:

The circumference of a circle of radius `r` has length `2pi r`

A radian is the angle subtended by an arc of length equal to the radius. That is, if the radius is `r`, then the length of the arc is `r`.

For an arc to subtend a full revolution its length must be `2pi r` so the angle is `2pi` radians.

I hope that helps!