Turns to Radians Converter
Convert turns (tr) to radians (rad)
Result
6.283185307 rad
Radians
1 tr = 6.283185307 rad
1 tr in other units
- 1Enter a valueType the number to convert
- 2Pick the unitsChoose what to convert from and to
- 3Read the resultSee it in every other unit too
How to convert turns to radians
One turn equals 6.283185 radians, so multiply the number of turns by 6.283185.
rad = tr × 6.283185
1 tr = 6.283185 rad · 1 rad = 0.1591549 tr
Worked example
To convert 5 turns to radians: 5 tr × 6.283185 = 31.41593 rad.
About turns (tr)
A turn (revolution) is one full circle, 360°.
About radians (rad)
A radian is the angle where the arc equals the radius, about 57.2958°. Maths and physics use radians.
More conversions
Turns to other units
Frequently asked questions
How many radians are in one turn?
One turn equals 6.283185 radians.
How many turns are in one radian?
One radian equals 0.1591549 turns.
How do I convert turns to radians?
Use the formula rad = tr × 6.283185. For example, 5 tr × 6.283185 = 31.41593 rad.