Turn to Radian Converter
Convert turn to radian instantly.
Standard angle units
degree 36000
radian 628.319
gradian 40000
arcminute 2160000
arcsecond 129600000
Fun comparisons
clock hour marks 🕐~ 1200
pizza slices (1/8) 🍕~ 800
right angles 📐~ 400
compass quarter turns 🧭~ 400
How to convert turn to radian
Enter your angle in turn and get the equivalent in radian instantly. Key reference points: a full circle is 360 degrees (2π radians / 400 gradians / 1 turn), and a right angle is 90 degrees (π/2 radians).
Turns count full rotations, while radians relate the arc length to the radius. One turn equals exactly 2π radians.
Need the opposite direction? Convert radian to turn just as easily, or explore all our angle conversions.
Common turn to radian conversions
| Turn (rev) | Radian (rad) |
|---|---|
| 1 | 6.28319 |
| 5 | 31.4159 |
| 10 | 62.8319 |
| 25 | 157.08 |
| 50 | 314.159 |
| 100 | 628.319 |
| 500 | 3141.59 |
| 1000 | 6283.19 |
Frequently asked questions
1 turn equals 6.28319 radian.
Multiply by 6.28319. For example, 5 rev = 31.4159 rad.
0.5 turns equals π radians (approximately 3.14159 radians).
1 radian equals 0.159155 turn.
100 turn equals 628.319 radian.