Popular angle conversions
Angle units
A full turn is 360 degrees, 2π radians or 400 gradians. The radian is the SI derived unit: the angle that subtends an arc equal in length to the radius.
| Unit | Symbol | In radians | Definition |
|---|---|---|---|
| Degree | ° | 0.01745329252 rad | One 360th of a full turn. |
| Radian | rad | 1 rad | The angle whose arc equals the radius: about 57.2958 degrees. |
| Gradian | grad | 0.01570796327 rad | One 400th of a full turn, so a right angle is 100 gradians. |
| Milliradian | mrad | 0.001 rad | |
| Arcminute | arcmin | 0.0002908882087 rad | |
| Arcsecond | arcsec | 0.000004848136811 rad | |
| Turn | turn | 6.283185307 rad |
Calculate with angle
The smart calculator does arithmetic across angle units and picks a sensible unit for the answer. Try 90° to rad.
Questions and answers
Which angle units can I convert?
All 7: degrees, radians, gradians, milliradians, arcminutes, arcseconds, turns.
What is the SI unit of angle?
This converter uses the radian (rad) as its base unit. A full turn is 360 degrees, 2π radians or 400 gradians. The radian is the SI derived unit: the angle that subtends an arc equal in length to the radius.
How precise are the results?
Factors are the exact legal definitions where one exists (an inch is exactly 2.54 cm, a pound exactly 0.45359237 kg). Results show 10 significant digits by default; the precision menu offers 4 to 15.
Does the angle converter work offline?
Yes. ConvertEasy is a progressive web app: after your first visit it keeps working with no connection, and you can install it to your home screen from the browser menu.