Angle Converter

Measure of rotation between two lines.

Converting...

Unit Information

Degree (°)

Definition: A unit of angular measurement equal to 1/360 of a full rotation.

History: Ancient Babylonian origin, based on their sexagesimal system.

Current Use: Widely used for everyday angle measurements.

Radian (rad)

Definition: The SI unit of angular measurement.

History: Defined as the angle subtended by an arc equal to the radius.

Current Use: Used in mathematics, physics, and engineering.

Mil (angle) (mil)

Definition: A unit of angular measurement equal to 1/6400 of a circle.

History: Used in military and surveying applications.

Current Use: Used in artillery, surveying, and navigation.

Gradian (grad)

Definition: A unit of angular measurement equal to 1/400 of a full rotation.

History: Developed with the metric system.

Current Use: Used in some surveying and engineering applications.

Arcminute (arcmin)

Definition: A unit of angular measurement equal to 1/60 of a degree.

History: Part of the traditional degree system.

Current Use: Used in astronomy and precise angular measurements.

Arcsecond (arcsec)

Definition: A unit of angular measurement equal to 1/60 of an arcminute.

History: Part of the traditional degree system.

Current Use: Used in astronomy for very precise measurements.

Did you know?

  • A radian is the central angle whose arc length equals the radius of the circle.
  • There are 2π radians in a complete circle.
  • A degree divides a circle into 360 equal parts.

Common Conversions

Convert Degrees to Radians

deg * (π/180)

Convert Radians to Degrees

rad * (180/π)

Convert Gradians to Degrees

grad * 0.9

Convert Degrees to Arcminutes

deg * 60