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Angle
Turns to Radians
Convert turns (tr) to radians (rad). Type a value below to see the result update instantly. Reference table and formula included.
Calculator
1 tr = 6.2832 rad
Turns to Radians Conversion Table
Common values, ready to copy:
| turns | radians |
|---|---|
| 1 tr | 6.2832 rad |
| 2 tr | 12.5664 rad |
| 5 tr | 31.4159 rad |
| 10 tr | 62.8319 rad |
| 25 tr | 157.08 rad |
| 50 tr | 314.16 rad |
| 100 tr | 628.32 rad |
| 1,000 tr | 6283.19 rad |
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Formula
radians = turns × 6.28318531e+0
Angles are ratios, not absolute quantities, so the conversion factors are exact. 1 full turn = 360° = 2π rad ≈ 6.2832 rad = 400 gon. 1° = 60 arcminutes = 3,600 arcseconds.
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