MOTION
Plane angle
Angles for geometry, surveying and rotation.
Try a decimal, 1e-9, 1/3, or 5 1/2.
Result6.28319 rad1 turn = 6.28319 rad
EVERYDAY · ENGINEERING · SCIENCE
turn to rad Converter
Convert turn / revolution (turn) to radian (rad). Enter a value for an instant result, or use the examples and reverse conversion below.
520units ready to convert
HOW IT IS CALCULATED
Convert through radian
Enter a turn / revolution value to calculate radian with full internal precision before display rounding.
Display PrecisionAuto · 6 significant digits
Auto trims unnecessary zeroes and uses scientific notation for extreme magnitudes. Use Digits to set the display precision; calculations retain full precision.
QUICK REFERENCE
All units in this quantity
| Unit | Symbol | Converted value |
|---|---|---|
| microradianfrom turn | µrad | 6283190 |
| milliradianfrom turn | mrad | 6283.19 |
| radianfrom turn | rad | 6.28319 |
| degreefrom turn | ° | 360 |
| arcminutefrom turn | ′ | 21600 |
| arcsecondfrom turn | ″ | 1296000 |
| gradian / gonfrom turn | gon | 400 |
| turn / revolutionfrom turn | turn | 1 |
SI symbols follow international notation. U.S. and Imperial measures are labelled separately where their values differ.
turn to rad Conversion Reference
Turn / Revolution (turn) and radian (rad) are units of plane angle. Use this page to convert in either direction.
Conversion Examples
| Turn / Revolution (turn) | Radian (rad) |
|---|---|
| 1 turn | 6.28319 rad |
| 5 turn | 31.4159 rad |
| 10 turn | 62.8319 rad |
| 100 turn | 628.319 rad |
Examples are rounded to 6 significant digits. The interactive converter retains full calculation precision; change Display Precision to see more digits.
Reverse Conversion
rad to turn (radian to turn / revolution)