Angle Converters
A full circle is 360 degrees, 2π radians, and 400 gradians — three systems describing the same rotation, none of which convert cleanly to the others by mental arithmetic. From that starting point, 180° equals exactly π radians and one radian works out to roughly 57.2958°. The degree-to-radian and radian-to-degree tools here use the exact factor — no truncation.
Radians are the natural unit in mathematics and physics because arc length equals radius times angle in radians, a relationship that breaks down with any other unit. That is why calculus, signal processing, and most scientific libraries expect radians by default, while maps, navigation instruments, and everyday geometry still run on degrees. Gradians (also called gon) appear in surveying — 400 per circle means a right angle is exactly 100 grad, which simplifies fieldwork arithmetic. Military applications use mils, where one mil subtends roughly one meter at one kilometer range. The 38 converters here cover all of those systems.
Whether you are translating a heading from degrees to revolutions for a motor controller, converting a surveying angle from grad to degrees, or moving between mils and degrees for ballistics, the correct factor matters — rounding errors compound fast when angles feed into further calculations. Start with the popular pairs below, or scroll down for every converter in the category.
Most popular
Degrees to Radians Converter
Convert degrees to radians and radians to degrees instantly.
Radians to Degrees Converter
Convert radians to degrees and degrees to radians instantly.
Revolutions to Degrees
Convert revolutions to degrees and back.
Mils to Degrees
Convert mils to degrees and back.
Degrees to Mils
Convert degrees to mils and back.
Gradians to Degrees Converter
Convert gradians to degrees and degrees to gradians instantly.
Circles to Degrees
Convert circles to degrees and back.
Degrees to Revolutions
Convert degrees to revolutions and back.
All angle converters
Degrees to Radians Converter
Convert degrees to radians and radians to degrees instantly.
Radians to Degrees Converter
Convert radians to degrees and degrees to radians instantly.
Degrees to Gradians Converter
Convert degrees to gradians and gradians to degrees instantly.
Gradians to Degrees Converter
Convert gradians to degrees and degrees to gradians instantly.
Degrees to Arcminutes Converter
Convert degrees to arcminutes and arcminutes to degrees instantly.
Arcminutes to Arcseconds
Convert arcminutes to arcseconds and back.
Arcminutes to Degrees
Convert arcminutes to degrees and back.
Degrees to Arcseconds
Convert degrees to arcseconds and back.
Degrees to Mils
Convert degrees to mils and back.
Degrees to Milliradians
Convert degrees to milliradians and back.
Degrees to Revolutions
Convert degrees to revolutions and back.
Gradians to Radians
Convert gradians to radians and back.
Mils to Degrees
Convert mils to degrees and back.
Milliradians to Degrees
Convert milliradians to degrees and back.
Radians to Gradians
Convert radians to gradians and back.
Revolutions to Degrees
Convert revolutions to degrees and back.
Revolutions to Radians
Convert revolutions to radians and back.
Arcseconds to Circles
Convert arcseconds to circles and back.
Arcseconds to Degrees
Convert arcseconds to degrees and back.
Arcseconds to Milliradians
Convert arcseconds to milliradians and back.
Arcseconds to Radians
Convert arcseconds to radians and back.
Circles to Arcseconds
Convert circles to arcseconds and back.
Circles to Degrees
Convert circles to degrees and back.
Circles to Gradians
Convert circles to gradians and back.
Circles to Mils
Convert circles to mils and back.
Circles to Milliradians
Convert circles to milliradians and back.
Circles to Radians
Convert circles to radians and back.
Circles to Revolutions
Convert circles to revolutions and back.
Degrees to Circles
Convert degrees to circles and back.
Gradians to Revolutions
Convert gradians to revolutions and back.
Mils to Circles
Convert mils to circles and back.
Mils to Gradians
Convert mils to gradians and back.
Mils to Radians
Convert mils to radians and back.
Mils to Revolutions
Convert mils to revolutions and back.
Milliradians to Circles
Convert milliradians to circles and back.
Milliradians to Radians
Convert milliradians to radians and back.
Radians to Circles
Convert radians to circles and back.
Revolutions to Circles
Convert revolutions to circles and back.