What's the difference between revolutions and radians?

1 Answer
George C.
Jul 5, 2015

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!

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