Formula
turn to rad conversion formula
Use this relationship for a direct conversion:
rad = turn x 6.28318530718
Worked example
2 turn = 12.5663706144 rad.
Displayed decimal results approximate irrational conversions that involve pi.
Angle conversion
Convert Turn to Radian
1 turn (turn) equals 6.28318530718 radian (rad). Enter any value below to convert from turn to rad.
Enter a value and choose units. Results update instantly.
1 turn = 6.2831853072 rad
All Angle units
From 1 turn| Unit | Value |
|---|---|
| Radian rad | 6.2831853072 |
| Degree ° | 360 |
| Gradian gon | 400 |
| Turn turn | 1 |
| Arcminute ′ | 21,600 |
| Arcsecond ″ | 1,296,000 |
| NATO mil mil | 6,400 |
Recent conversions
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Quick reference
Turn to Radian table
| Turn (turn) | Radian (rad) |
|---|---|
| 0.01 | 0.0628318531 |
| 0.1 | 0.6283185307 |
| 1 | 6.2831853072 |
| 2 | 12.5663706144 |
| 5 | 31.4159265359 |
| 10 | 62.8318530718 |
| 25 | 157.0796326795 |
| 50 | 314.159265359 |
| 100 | 628.318530718 |
| 1,000 | 6,283.1853071796 |
From unit
About the turn
One complete revolution.
Symbol: turn
To unit
About the radian
The coherent SI unit of plane angle.
Symbol: rad
Keep converting
Related conversions
Source
Conversion standard
Definitions are checked against BIPM SI Brochure: Plane angle. Calculations use full internal precision before display rounding.
View the complete angle converterQuestions
turn to rad FAQ
How do you convert turn to radian?
Use the formula rad = turn x 6.28318530718. 1 turn (turn) equals 6.28318530718 radian (rad).
Is the turn to rad conversion exact?
Displayed decimal results approximate irrational conversions that involve pi.