Turn to Radian Converter
Convert turns to radians with this free angle converter. The exact relationship used on this page is 1 turn = 6.28318530718 radians. Type any number — the result updates instantly, works on phones and desktops, and is ready to copy into homework, a spec sheet, or a shopping list.
Formula: Radian = Turn × 6.28318530718
How to convert turns to radians
- Enter the value in turns in the converter.
- Read the equivalent amount in radians.
- Use the swap link if you need radian to turn instead.
- Check the table for common values without typing.
Worked examples
- 1 tr = 6.283185307 rad
- 5 tr = 31.41592654 rad
- 10 tr = 62.83185307 rad
- 25 tr = 157.0796327 rad
Conversion table
Common turns values converted to radians.
| tr | rad |
|---|---|
| 1 | 6.283185307 |
| 2 | 12.56637061 |
| 3 | 18.84955592 |
| 4 | 25.13274123 |
| 5 | 31.41592654 |
| 6 | 37.69911184 |
| 7 | 43.98229715 |
| 8 | 50.26548246 |
| 9 | 56.54866776 |
| 10 | 62.83185307 |
| 20 | 125.6637061 |
| 50 | 314.1592654 |
| 100 | 628.3185307 |
| 250 | 1,570.796327 |
| 500 | 3,141.592654 |
| 1,000 | 6,283.185307 |
About this conversion
Turn (tr) and Radian (rad) are both angle units. Angles appear in geometry, navigation, CGI, and engineering. Bookmark this URL when you convert turns to radians often, then explore related pairs in the same category if you need a different target unit.
Need the other direction? Open the radian to turn converter.
FAQ
How many radians are in 1 turn?+
1 turn equals 6.28318530718 radians.
What is the formula to convert turns to radians?+
Radian = Turn × 6.28318530718
How do I convert turns to radians by hand?+
Multiply the turn value by 6.28318530718. Example: 10 turns × 6.28318530718 = 62.8318530718 radians.
Is this tr to rad converter accurate?+
Yes. Linear conversions use internationally agreed factors relative to SI. Temperature and inverse fuel units use the standard offset or reciprocal formulas, not a guessed scale factor.