Angle Unit Converter
Enter a value and select a starting unit to see all available conversion results.
Angle Units and Descriptions
Below are descriptions and historical context for each Angle unit available in this converter.
Degree (°)
Degree from Latin 'gradus' (step). 360° in a circle from ancient Babylonian base-60 system.
Radian (rad)
Radian is the SI unit of angle. One radian is the angle subtended by an arc equal to the radius.
Gradian (grad)
Gradian or gon, 400 gradians in a circle. Developed during French Revolution for decimal system.
Turn (turn)
One complete rotation or revolution. Also called 'cycle' in some contexts.
Arcminute (')
Arcminute, 1/60 of a degree. Used in astronomy, navigation, and precision angle measurements.
Arcsecond (")
Arcsecond, 1/60 of an arcminute or 1/3600 of a degree. Used in high-precision astronomy.
Base Unit Conversion Factors
The table below shows the conversion factors from each unit to the base unit, which is the Degree (°).
- 1 Degree (°) = 1 Degree (°)
- 1 Degree (°) = 0.017453286279274 Radian (rad)
- 1 Degree (°) = 1.1111111111111 Gradian (grad)
- 1 Degree (°) = 0.0027777777777778 Turn (turn)
- 1 Degree (°) = 59.99988000024 Arcminute (')
- 1 Degree (°) = 3599.9971200023 Arcsecond (")