Convert Radians to Turns
1 radian = 0.1591549 turns. Type any value below to convert in either direction — the calculation happens in your browser.
Radians to Turns formula
Multiply the number of radians by 0.1591549 to get turns.
turns = radians × 0.1591549To go the other way: divide the number of turns by 0.1591549, or multiply by 6.283185.
radians = turns ÷ 0.1591549Radians to Turns conversion table
| Radians | Turns |
|---|---|
| 1 rad | 0.1591549 turn |
| 2 rad | 0.3183099 turn |
| 3 rad | 0.4774648 turn |
| 4 rad | 0.6366198 turn |
| 5 rad | 0.7957747 turn |
| 6 rad | 0.9549297 turn |
| 7 rad | 1.114085 turn |
| 8 rad | 1.27324 turn |
| 9 rad | 1.432394 turn |
| 10 rad | 1.591549 turn |
| 15 rad | 2.387324 turn |
| 20 rad | 3.183099 turn |
| 25 rad | 3.978874 turn |
| 30 rad | 4.774648 turn |
| 40 rad | 6.366198 turn |
| 50 rad | 7.957747 turn |
| 75 rad | 11.936621 turn |
| 100 rad | 15.915494 turn |
| 250 rad | 39.788736 turn |
| 500 rad | 79.577472 turn |
| 1,000 rad | 159.154943 turn |
Turns to Radians conversion table
| Turns | Radians |
|---|---|
| 1 turn | 6.283185 rad |
| 2 turn | 12.566371 rad |
| 3 turn | 18.849556 rad |
| 4 turn | 25.132741 rad |
| 5 turn | 31.415927 rad |
| 6 turn | 37.699112 rad |
| 7 turn | 43.982297 rad |
| 8 turn | 50.265482 rad |
| 9 turn | 56.548668 rad |
| 10 turn | 62.831853 rad |
About the radian
A radian is the angle subtending an arc equal to the radius; a full turn is 2π radians.
About the turn
A turn is one complete revolution, equal to 360 degrees or 2π radians.
Frequently asked questions
How many turns are in a radian?
There are 0.1591549 turns in one radian.
How many radians are in a turn?
There are 6.283185 radians in one turn.
Is this conversion exact?
The ratio between the radian and the turn is fixed by definition, so the conversion is exact — the figures shown here are rounded for readability only.
What is 10 radians in turns?
10 radians equals 1.591549 turns.