How to Convert Radians to Turns
To convert radians to turns, divide the value by 6.2832.
The Formula
Turns = Radians ÷ 6.2832
Key Fact
1 turn = 6.2832 radians
Tip: To convert turns back to radians, multiply by 6.2832.
Radians to Turns
Convert radians (rad) to turns (turn) with formulas, examples, and conversion tables.
rad
turn
1 rad = 0.15915 turn
Full precision:0.15915 turn
Step-by-Step Solution
To convert 1 radians to turns, we divide by 6.2832 because one turn equals exactly 6.2832 radians.
1 turn = 6.2832 radians
Since there are 6.2832 radians in every turn, we divide our value by this factor:
1 ÷ 6.2832 = 0.15915 turns
So 1 radians = 0.15915 turns.
Quick check: 0.15915 × 6.2832 = 1 radians
Example Conversions
Example 1: 1 rad = 0.15915 turn
1 ÷ 6.2832 = 0.15915
1 ÷ 6.2832 = 0.15915
Example 2: 5 rad = 0.79578 turn
5 ÷ 6.2832 = 0.79578
5 ÷ 6.2832 = 0.79578
Example 3: 10 rad = 1.5916 turn
10 ÷ 6.2832 = 1.5916
10 ÷ 6.2832 = 1.5916
Radians to Turns Table
| Radians | Turns |
|---|---|
| 1 rad | 0.15915 turn |
| 2 rad | 0.31831 turn |
| 5 rad | 0.79578 turn |
| 10 rad | 1.5916 turn |
| 20 rad | 3.1831 turn |
| 25 rad | 3.9789 turn |
| 50 rad | 7.9577 turn |
| 100 rad | 15.9155 turn |
| 250 rad | 39.7888 turn |
| 500 rad | 79.5775 turn |
| 1000 rad | 159.155 turn |
1 Radian in Other Units
| Unit | 1 rad = |
|---|---|
| Radians to Degrees | 57.2958 ° |
| Radians to Gradians | 63.662 grad |
| Radians to Turns | 0.15915 turn |
| Radians to Arc Minutes | 3437.74 ′ |
| Radians to Arc Seconds | 206264.71 ″ |
| Radians to Milliradians | 1000 mrad |
| Radians to Revolutions | 0.15915 rev |
| Radians to Quadrants | 0.63662 quad |
| Radians to Sextants | 0.95493 sext |