Turn to Radian Converter
Convert Turn (tr) to Radian (rad) instantly. 1 tr = 6.283185 rad.
Angle Converter
14 units available
1 tr = 6.283185 rad
Formula:
rad = tr × 6.2831853072With your value: 1 tr = 6.28318531 rad
Other Turn to Radian conversions
Turn to Radian Conversion Table
| Turn (tr) | Radian (rad) |
|---|---|
| 0.5 | 3.141593 |
| 1 | 6.283185 |
| 2 | 12.566371 |
| 5 | 31.415927 |
| 10 | 62.831853 |
| 15 | 94.24778 |
| 20 | 125.663706 |
| 25 | 157.079633 |
| 50 | 314.159265 |
| 100 | 628.318531 |
| 250 | 1,570.796327 |
| 500 | 3,141.592654 |
| 1000 | 6,283.185307 |
Radian to Turn Conversion Table
| Radian (rad) | Turn (tr) |
|---|---|
| 0.5 | 0.079577 |
| 1 | 0.159155 |
| 2 | 0.31831 |
| 5 | 0.795775 |
| 10 | 1.591549 |
| 15 | 2.387324 |
| 20 | 3.183099 |
| 25 | 3.978874 |
| 50 | 7.957747 |
| 100 | 15.915494 |
| 250 | 39.788736 |
| 500 | 79.577472 |
| 1000 | 159.154943 |
Where these values come from
Every factor on this page is traced to the document that defines it. See the full provenance dataset or our methodology.
Turn (tr)
Angle
The radian is the coherent SI unit of plane angle; the degree is exactly π/180 rad and is accepted for use with the SI.
Source: Units accepted for use with the SI, SI Brochure Table 8
Bureau International des Poids et Mesures · Reviewed 2026-07-01
Radian (rad)
Angle
The radian is the coherent SI unit of plane angle; the degree is exactly π/180 rad and is accepted for use with the SI.
Source: Units accepted for use with the SI, SI Brochure Table 8
Bureau International des Poids et Mesures · Reviewed 2026-07-01
How to Convert Turn to Radian
To convert from Turn (tr) to Radian (rad), multiply the value by 6.2831853072.
Formula: rad = tr × 6.2831853072
Reverse: tr = rad × 0.1591549431
Step-by-Step Example
- Start with your value in Turn. For example: 5 tr
- Multiply by the conversion factor: 5 x 6.2831853072
- The result is: 31.415927 rad
About Turn
The turn (tr) is a unit of plane angle. One turn equals 360 radians. UnitConvertLab converts it against every other angle unit using this exact definition, so results are reproducible to full double precision rather than rounded lookup tables.
Common uses: angle calculations, engineering and science, education.
About Radian
The radian is the SI unit of angular measurement. One radian equals approximately 57.296 degrees.
Fun Fact: A full circle contains exactly 2π radians.
Common uses: mathematics, physics, engineering.
Frequently Asked Questions
How many Radian are in 1 Turn?
There are exactly 6.2831853072 Radian in 1 Turn. This means the conversion factor from Turn to Radian is 6.2831853072.
What is the formula to convert Turn to Radian?
The formula to convert Turn to Radian is: rad = tr × 6.2831853072. For example, to convert 10 Turn to Radian, you would multiply 10 by 6.2831853072.
What is a Turn?
The turn (tr) is a unit of plane angle. One turn equals 360 radians. UnitConvertLab converts it against every other angle unit using this exact definition, so results are reproducible to full double precision rather than rounded lookup tables.
What is a Radian?
The radian is the SI unit of angular measurement. One radian equals approximately 57.296 degrees.
What are the common uses of Turn?
The Turn is commonly used in angle calculations, engineering and science, education.
Related Angle Conversions
Cite this page
UnitConvertLab. (2026). Turn to Radian converter. UnitConvertLab. Retrieved from https://unitconvertlab.com/convert/turn-to-radian