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Turn (revolution) (rev)

One full rotation: exactly 2π radians (360 degrees).

What is a turn?

Symbol
rev
Quantity
Angle
Unit system
other
Definition
One full rotation: exactly 2π radians (360 degrees).
Exact
Yes, the value is exact by definition
Source
NIST Special Publication 811 (2008), Appendix B.8

Common applications

One full rotation (360 degrees). Used for rotations, gears and rotational speed (revolutions).

Turn (revolution) in other angle units

Turn (revolution) quick reference

Turn (revolution) in other units
Turn (revolution)DegreeRadianMilliradian
1 rev= 360 °≈ 6.283185307 rad≈ 6283.185307 mrad
10 rev= 3600 °≈ 62.83185307 rad≈ 62831.85307 mrad
100 rev= 36000 °≈ 628.3185307 rad≈ 628318.5307 mrad
1000 rev= 360000 °≈ 6283.185307 rad≈ 6283185.307 mrad

Where the turn fits

The next smaller angle unit is the radian (rad). 1 rev ≈ 6.283185307 rad, and 1 rad ≈ 0.1591549431 rev.

Frequently asked questions

How many degrees are in one turn?
One turn = 360 ° (degrees).
How many radians are in one turn?
One turn ≈ 6.283185307 rad (radians).
How many milliradians are in one turn?
One turn ≈ 6283.185307 mrad (milliradians).

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