Angle Converter
Convert between 8 units of angle — degrees, radians, gradians, milliradians, arcminutes, arcseconds, turns/revolutions, and signs.
Quick conversions
All units
About the Angle Converter
Angles measure the amount of rotation between two intersecting lines or planes. Degrees (360 per full circle) are the most familiar unit and are used in navigation, astronomy, and everyday geometry. Radians (2π per full circle) are the natural unit in mathematics and physics because they simplify calculus formulas. Gradians divide a right angle into 100 equal parts and are used in surveying and civil engineering.
Quick facts
- ›One radian ≈ 57.2958°; there are exactly 2π radians in a full circle
- ›The gradian (grad) system was introduced during the French Revolution
- ›One arcminute = 1/60 of a degree; one arcsecond = 1/3600 of a degree
- ›A right angle is 90°, π/2 radians, or 100 gradians
Common uses: Trigonometry, navigation, surveying, astronomy, robotics, computer graphics