Radian to Turn Converter
Convert radians to turns with this free angle converter. The exact relationship used on this page is 1 radian = 0.159154943092 turns. 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: Turn = Radian × 0.159154943092
How to convert radians to turns
- Enter the value in radians in the converter.
- Read the equivalent amount in turns.
- Use the swap link if you need turn to radian instead.
- Check the table for common values without typing.
Worked examples
- 1 rad = 0.1591549431 tr
- 5 rad = 0.7957747155 tr
- 10 rad = 1.591549431 tr
- 25 rad = 3.978873577 tr
Conversion table
Common radians values converted to turns.
| rad | tr |
|---|---|
| 1 | 0.1591549431 |
| 2 | 0.3183098862 |
| 3 | 0.4774648293 |
| 4 | 0.6366197724 |
| 5 | 0.7957747155 |
| 6 | 0.9549296586 |
| 7 | 1.114084602 |
| 8 | 1.273239545 |
| 9 | 1.432394488 |
| 10 | 1.591549431 |
| 20 | 3.183098862 |
| 50 | 7.957747155 |
| 100 | 15.91549431 |
| 250 | 39.78873577 |
| 500 | 79.57747155 |
| 1,000 | 159.1549431 |
About this conversion
Radian (rad) and Turn (tr) are both angle units. Angles appear in geometry, navigation, CGI, and engineering. Bookmark this URL when you convert radians to turns often, then explore related pairs in the same category if you need a different target unit.
Need the other direction? Open the turn to radian converter.
FAQ
How many turns are in 1 radian?+
1 radian equals 0.159154943092 turns.
What is the formula to convert radians to turns?+
Turn = Radian × 0.159154943092
How do I convert radians to turns by hand?+
Multiply the radian value by 0.159154943092. Example: 10 radians × 0.159154943092 = 1.59154943092 turns.
Is this rad to tr 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.