Turns to radians
Type a value in turn to get it in rad instantly.
565.5rad
That's 90× as wide as a full turn — nothing on our list beats it. As a road gradient, that is about 0%.
Convert the other way: rad to turn
What it means
How wide is that?
The road gradient shown is the tangent of the angle, the way highway signs measure steepness.
The math
How to convert turn to rad
To convert turns to radians, multiply by 6.28319.
Example: 90 turn × 6.28319 = 565.487 rad.
In the other direction, 1 rad = 0.159155 turn.
Every unit
Your angle in every unit
Tables
turn to rad conversion table
| turn | rad |
|---|---|
| 1 turn | 6.28319 rad |
| 5 turn | 31.4159 rad |
| 10 turn | 62.8319 rad |
| 15 turn | 94.2478 rad |
| 30 turn | 188.496 rad |
| 45 turn | 282.743 rad |
| 60 turn | 376.991 rad |
| 75 turn | 471.239 rad |
| 90 turn | 565.487 rad |
| 120 turn | 753.982 rad |
| 135 turn | 848.23 rad |
| 150 turn | 942.478 rad |
| 180 turn | 1,130.97 rad |
| 270 turn | 1,696.46 rad |
| 360 turn | 2,261.95 rad |
rad to turn conversion table
| rad | turn |
|---|---|
| 1 rad | 0.159155 turn |
| 5 rad | 0.795775 turn |
| 10 rad | 1.59155 turn |
| 15 rad | 2.38732 turn |
| 30 rad | 4.77465 turn |
| 45 rad | 7.16197 turn |
| 60 rad | 9.5493 turn |
| 75 rad | 11.9366 turn |
| 90 rad | 14.3239 turn |
| 120 rad | 19.0986 turn |
| 135 rad | 21.4859 turn |
| 150 rad | 23.8732 turn |
| 180 rad | 28.6479 turn |
| 270 rad | 42.9718 turn |
| 360 rad | 57.2958 turn |
Quick answers
Quick answers
- How many rad is 1 turn?
- 1 turn is 6.28319 rad.
- How many rad is 10 turn?
- 10 turn is 62.8319 rad.
- How many rad is 90 turn?
- 90 turn is 565.487 rad.
The units
About these units
Turns (turn)
One turn is a complete revolution: 360°, 2π radians. Gears, screws and rotations are often counted in turns.
Radians (rad)
One radian is the angle where the arc equals the radius, about 57.3°. It is the SI unit and the one every programming language expects.
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