Convert Radian to Degree

Please provide values below to convert Radian [rad] to Degree [°]

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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.

All Unit Conversions

Degree to RadianDegree to Mil (angle)Degree to GradianDegree to ArcminuteDegree to ArcsecondRadian to DegreeRadian to Mil (angle)Radian to GradianRadian to ArcminuteRadian to ArcsecondMil (angle) to DegreeMil (angle) to RadianMil (angle) to GradianMil (angle) to ArcminuteMil (angle) to ArcsecondGradian to DegreeGradian to RadianGradian to Mil (angle)Gradian to ArcminuteGradian to ArcsecondArcminute to DegreeArcminute to RadianArcminute to Mil (angle)Arcminute to GradianArcminute to ArcsecondArcsecond to DegreeArcsecond to RadianArcsecond to Mil (angle)Arcsecond to GradianArcsecond to Arcminute

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.

Related Categories

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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

Back to All Categories

Convert Radian to Degree

How this conversion works

Converting Radian (rad) to Degree (°) is straightforward with Unitly. We apply lossless base-unit math under the hood so you get consistent answers whether you are auditing data pipelines, planning infrastructure, or double-checking homework.

Quick reference: 1 rad equals 57.295779513082 °. Conversely, 1 ° equals 0.01745329252 rad. Combine these ratios with the in-page calculator to convert any value instantly.

About Radian

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.

About 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.

Related conversions

Questions people ask

How do I convert degrees to radians?
Multiply the number of degrees by π/180 to get radians.
How many degrees are in a circle?
A full circle contains 360 degrees.

Need to cite your work? Pair these explanations with our JSON-LD schema (already embedded on the page) so search engines and analytics platforms understand the context behind each conversion.