Turns to radians
1 turn = 6.283185307 rad · 1 radian = 0.1591549431 turn
How to convert turns to radians
To convert turns to radians, multiply the value by 6.283185307.
Formula: rad = turn × 6.283185307
Example: 10 turn = 62.83185307 rad
Turns to radians conversion table
| turns (turn) | radians (rad) |
|---|---|
| 1 turn | 6.283185307 rad |
| 2 turn | 12.56637061 rad |
| 3 turn | 18.84955592 rad |
| 4 turn | 25.13274123 rad |
| 5 turn | 31.41592654 rad |
| 6 turn | 37.69911184 rad |
| 7 turn | 43.98229715 rad |
| 8 turn | 50.26548246 rad |
| 9 turn | 56.54866776 rad |
| 10 turn | 62.83185307 rad |
| 15 turn | 94.24777961 rad |
| 20 turn | 125.6637061 rad |
| 25 turn | 157.0796327 rad |
| 30 turn | 188.4955592 rad |
| 40 turn | 251.3274123 rad |
| 50 turn | 314.1592654 rad |
| 75 turn | 471.238898 rad |
| 100 turn | 628.3185307 rad |
| 250 turn | 1,570.796327 rad |
| 500 turn | 3,141.592654 rad |
| 1,000 turn | 6,283.185307 rad |
About these units
Radian (rad)
A radian (rad) is the angle at which the arc equals the radius, about 57.2958°. A full turn is 2π rad; radians are standard in math and physics.
Frequently asked questions
How many radians are in 1 turn?
1 turn = 6.283185307 rad
How many turns are in 1 radian?
1 rad = 0.1591549431 turn
What is 5 turn in rad?
5 turn = 31.4159 rad (5 × 6.283185307)
What is 100 turn in rad?
100 turn = 628.319 rad (100 × 6.283185307)