Radians to Turns
Convert radians (rad) to turns (turn). Type in either box; the other updates as you go.
1 radian equals0.1591549431 turn
1 turn equals6.283185307 rad
Formulaturn = rad × 0.1591549431
How to convert radians to turns
To convert radians to turns, multiply the number of radians by 0.1591549431.
turn = rad × 0.1591549431
Example
Convert 10 radians to turns:
10 rad × 0.1591549431 = 1.59155 turn
Radian to turn conversion chart
| Radians (rad) | Turns (turn) |
|---|---|
| 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 |
| 12 rad | 1.909859 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 |
| 60 rad | 9.549297 turn |
| 70 rad | 11.14085 turn |
| 75 rad | 11.93662 turn |
| 80 rad | 12.7324 turn |
| 90 rad | 14.32394 turn |
| 100 rad | 15.91549 turn |
| 150 rad | 23.87324 turn |
| 200 rad | 31.83099 turn |
| 250 rad | 39.78874 turn |
| 500 rad | 79.57747 turn |
| 1,000 rad | 159.1549 turn |
Going the other way? See the turns to radians chart.
About the units
Radian (rad)
A radian is the angle that cuts off an arc as long as the radius. A full turn is 2π radians, so one radian is about 57.3°.
Turn (turn)
A turn is one full revolution, 360 degrees or 2π radians.
Frequently asked questions
How many turns are in a radian?
There are 0.1591549431 turns in a radian.
How many radians are in a turn?
There are 6.283185307 radians in a turn.
How do you convert radians to turns?
To convert radians to turns, multiply the number of radians by 0.1591549431.
What is 10 radians in turns?
10 radians equals 1.59155 turns.
Convert between degrees, radians, gradians, arcminutes and arcseconds. Open the angle converter to see a value in every unit at once.