Angle converter
Degrees, radians and gradians
Angle converter
To
1 ° = 0.01745329 rad
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About the Angle converter
Angles are measured in degrees in everyday life, radians in mathematics and programming, and gradians in surveying. A full circle is 360 degrees, 2π radians, or 400 gradians.
One radian is about 57.2958 degrees — the angle where the arc length equals the radius. To convert degrees to radians, multiply by π/180; to go back, multiply by 180/π.
Common use cases
- Trigonometry homework between degrees and radians
- Programming (most math libraries use radians)
- Surveying and civil engineering with gradians
- GPS bearing and navigation calculations
Frequently asked questions
Exactly π radians (about 3.14159). A full 360° circle is 2π radians.