MOTION
Plane angle
Angles for geometry, surveying and rotation.
Try a decimal, 1e-9, 1/3, or 5 1/2.
Result0.0174533 rad1 ° = 0.0174533 rad
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° to rad Converter
Convert degree (°) 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 degree 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 ° | µrad | 17453.3 |
| milliradianfrom ° | mrad | 17.4533 |
| radianfrom ° | rad | 0.0174533 |
| degreefrom ° | ° | 1 |
| arcminutefrom ° | ′ | 60 |
| arcsecondfrom ° | ″ | 3600 |
| gradian / gonfrom ° | gon | 1.11111 |
| turn / revolutionfrom ° | turn | 0.00277778 |
SI symbols follow international notation. U.S. and Imperial measures are labelled separately where their values differ.
° to rad Conversion Reference
Degree (°) and radian (rad) are units of plane angle. Use this page to convert in either direction.
Conversion Examples
| Degree (°) | Radian (rad) |
|---|---|
| 1 ° | 0.0174533 rad |
| 5 ° | 0.0872665 rad |
| 10 ° | 0.174533 rad |
| 100 ° | 1.74533 rad |
Examples are rounded to 6 significant digits. The interactive converter retains full calculation precision; change Display Precision to see more digits.