Converters
12
Guide
How to convert angle
Enter an angle and choose the source and target units. Degrees, radians, gradians, arcminutes, arcseconds, turns, and angular mils are converted through radians.
Angle uses radians as the base unit: result = amount x source radian factor / target radian factor.
Examples
Angle conversion examples
Degrees to radians
180 deg
equals
3.14159265359 rad
Radians to degrees
3.14159265359 rad
equals
180 deg
Arcminutes to degrees
60 '
equals
1 deg
Angle
All conversions
Radians to Degrees Converter
Angle
Browse supported units
rad
Radian
Radian (rad) is one of the supported angle units in this converter.
deg
Degree
Degree (deg) is one of the supported angle units in this converter.
grad
Gradian
Gradian (grad) is one of the supported angle units in this converter.
'
Minute of arc
Minute of arc (') is one of the supported angle units in this converter.
''
Second of arc
Second of arc ('') is one of the supported angle units in this converter.
turn
Turn
Turn (turn) is one of the supported angle units in this converter.
mil
Angular mil
Angular mil (mil) is one of the supported angle units in this converter.
Popular conversions
Angle links
Conversion table
1 Degree equals
| Unit | Value |
|---|---|
| Radian rad | 0.0174532925199 |
| Gradian grad | 1.11111111111 |
| Minute of arc ' | 60 |
| Second of arc '' | 3600 |
| Turn turn | 0.00277777777778 |
| Angular mil mil | 17.7777777778 |
Formula model
Base-unit conversion
Pi-based constants are stored with high precision for practical geometry, navigation, and engineering use.
base = amount * factor + offset
result = (base - targetOffset) / targetFactor
result = (base - targetOffset) / targetFactor
FAQ
Angle converter questions
How many radians are in a full turn?
A full turn is 2*pi radians.
Are arcminutes and arcseconds supported?
Yes. Both minute of arc and second of arc are included.