Angle Converter
Convert between degrees, radians, gradians, arc minutes, and seconds.
6 decimals
1 ° = 0.017453 rad
About the angle converter
Convert angles between degrees, radians, gradians, turns, arc minutes, arc seconds, and the NATO mil. The SI unit is the radian, defined as the angle subtending an arc equal in length to the radius. Mathematics and physics use radians; navigation and surveying use degrees, minutes, and seconds.
Common conversions
Frequently asked questions
-
How many degrees are in a radian?
One radian equals approximately 57.2958 degrees (180/π).
-
How many radians are in a full circle?
2π radians, which equals 360 degrees, 400 gradians, or 1 turn.
-
What is a gradian?
A gradian (or gon) is 1/400 of a full turn — used in surveying, especially in continental Europe. A right angle is 100 gradians.
-
How many arc seconds are in a degree?
3,600 arc seconds. One degree contains 60 arc minutes, and each arc minute contains 60 arc seconds.
More common converters
Complete list of angle units
- Radian [rad]