Angle Conversions
Convert angle units — degrees, radians, gradians, turns. Free calculators for trigonometry, geometry, and engineering.
7 units · 6 conversions
Angles measure rotation or direction. Degrees divide a full circle into 360 parts; radians use arc length on a unit circle (2π rad = 360°); gradians use 400 units per circle in some surveying contexts.
Radians are essential in calculus and physics because trigonometric identities simplify when angles are in radians. Degrees remain intuitive for navigation, construction, and everyday geometry.
Popular angle conversions
Real-world example
A CAD export gives a bend angle as 1.047 rad and your shop protractor reads degrees. Converting gives 60° — the setting for the brake press without manual π calculations.
All angle conversions
Angle units explained
- Degrees (°) · base unit
- Also: deg, degrees
- Radians (rad)
- Also: radians
- Gradians (grad)
- Also: gon, gradians
- Turns (turn)
- Also: revolution, full rotation
- Milliradians (mrad)
- Also: mil
- Minutes of Arc (')
- Also: arcminute, minute of arc
- Seconds of Arc (")
- Also: arcsecond, second of arc
Frequently asked questions
- How do I convert degrees to radians?
- Multiply degrees by π/180. Example: 180° × π/180 = π rad ≈ 3.14159 rad.
- How many degrees are in a full circle?
- One full rotation equals 360 degrees, 2π radians, or 1 turn.