Convert turn (turn) to radian (rad).
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Radian to Turn Converter (rad to turn)
Convert radian (rad) to turn (turn).Unit Converter · Angle
Quick answer
1 radian (rad) is approximately equal to 0.1591549 turns (turn). 1 turn is approximately equal to 6.283185 radians (rad).
To convert rad to turn, multiply the value in radians by 0.1591549431. For example, 10 rad = 1.59154943 turn, and 100 rad = 15.91549431 turn.
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How to convert radians to turns
How many turns are in a radian? 1 radian is about 0.1591549 turns. This free rad to turn converter and radian to turn calculator gives the answer instantly for any value.
To convert radian (rad) to turn (turn), multiply the value in radians by 0.1591549431.
turn = rad × 0.1591549431
- 1
Take the value in radians
For example, 25 rad.
- 2
Multiply by 0.1591549431
25 × 0.1591549431.
- 3
Read the answer in turns
25 rad = 3.97887358 turn.
Radian to Turn conversion table
Common values from 1 to 1,000 radians converted to turns.
| Radian (rad) | Turn (turn) |
|---|---|
| 1 rad | 0.15915494 turn |
| 2 rad | 0.31830989 turn |
| 3 rad | 0.47746483 turn |
| 4 rad | 0.63661977 turn |
| 5 rad | 0.79577472 turn |
| 6 rad | 0.95492966 turn |
| 7 rad | 1.1140846 turn |
| 8 rad | 1.27323954 turn |
| 9 rad | 1.43239449 turn |
| 10 rad | 1.59154943 turn |
| 15 rad | 2.38732415 turn |
| 20 rad | 3.18309886 turn |
| 25 rad | 3.97887358 turn |
| Radian (rad) | Turn (turn) |
|---|---|
| 30 rad | 4.77464829 turn |
| 40 rad | 6.36619772 turn |
| 50 rad | 7.95774715 turn |
| 60 rad | 9.54929659 turn |
| 70 rad | 11.14084602 turn |
| 75 rad | 11.93662073 turn |
| 80 rad | 12.73239545 turn |
| 90 rad | 14.32394488 turn |
| 100 rad | 15.91549431 turn |
| 250 rad | 39.78873577 turn |
| 500 rad | 79.57747155 turn |
| 1,000 rad | 159.15494309 turn |
About radians and turns
Radian (rad)
A radian (rad) is the angle at the center of a circle that cuts off an arc as long as the radius. A full turn is 2π radians, so 180° = π rad.
Turn (turn)
A turn is one full rotation, equal to 360 degrees or 2π radians.
rad to turn: common questions
- How many turns are in 1 radian?
- 1 radian (rad) is approximately equal to 0.1591549 turns (turn). In short: 1 rad ≈ 0.1591549 turn.
- How do I convert radians to turns?
- To convert rad to turn, multiply the value in radians by 0.1591549431. For example, 5 rad = 0.79577472 turn.
- How do I convert turns to radians?
- Use the Turn to Radian converter, which applies the exact reverse factor.
- What is 10 rad in turn, and what is 100 rad?
- 10 rad = 1.59154943 turn, and 100 rad = 15.91549431 turn. The table above lists more values from 1 to 1,000.
- Is this rad to turn converter accurate?
- Yes. It uses the exact conversion factor and shows results to as many as 8 decimal places, so you can rely on it for study, work and everyday measuring.
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