How to Convert turns to radians
To convert turns to radians, multiply the value by 6.28318306054.
The Formula
radians = turns × 6.28318306054
Key Fact
1 turn = 6.28318306054 radians
Tip: To convert radians back to turns, divide by 6.28318306054.
Turns to Radians
Convert turns (turn) to radians (rad) with formulas, examples, and conversion tables.
turn
rad
1 turns (turn) = 6.28318306054 radians (rad)
Round to:
Step-by-Step Solution
1Write the conversion factor:
1 turn = 6.28318306054 radians
2Multiply the value by the conversion factor:
1 × 6.28318306054 = 6.28318306054
3Result:
1 turns (turn) = 6.28318306054 radians (rad)
turns to radians Table
| turns | radians |
|---|---|
| 1 turn | 6.28318306054 rad |
| 2 turn | 12.5663661211 rad |
| 5 turn | 31.4159153027 rad |
| 10 turn | 62.8318306054 rad |
| 20 turn | 125.663661211 rad |
| 25 turn | 157.079576513 rad |
| 50 turn | 314.159153027 rad |
| 100 turn | 628.318306054 rad |
| 250 turn | 1570.79576513 rad |
| 500 turn | 3141.59153027 rad |
| 1000 turn | 6283.18306054 rad |
1 turn in Other Units
| Unit | 1 turn = |
|---|---|
| Turns to Degrees | 360 ° |
| Turns to Radians | 6.28318306054 rad |
| Turns to Gradians | 400 grad |
| Turns to Arc Minutes | 21599.9568001 ′ |
| Turns to Arc Seconds | 1295998.9632 ″ |
| Turns to Milliradians | 6283.18306054 mrad |
| Turns to Revolutions | 1 rev |
| Turns to Quadrants | 4 quad |
| Turns to Sextants | 6 sext |