Radian to Degree Converter
Convert Radian to Degree — free, instant, accurate. Part of Angle converters.
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Radian to Degree: values and formula
1 Radian = 57.2958 Degree, and 1 Degree = 0.0174532863 Radian. To convert a angle value from Radian to Degree, multiply it by 57.2958. For example, 10 Radian equals 572.958 Degree, and 250 Radian equals 14323.95 Degree.
| Radian | Degree |
|---|---|
| 1 Radian | 57.2958 Degree |
| 2 Radian | 114.5916 Degree |
| 5 Radian | 286.479 Degree |
| 10 Radian | 572.958 Degree |
| 25 Radian | 1432.395 Degree |
| 50 Radian | 2864.79 Degree |
| 100 Radian | 5729.58 Degree |
| 500 Radian | 28647.9 Degree |
| 1000 Radian | 57295.8 Degree |
When to use the Radian to Degree converter
- Mathematics and trigonometry — switching between degrees and radians.
- Surveying — using gradians for slope and bearing.
- Astronomy — measuring small angles in arcminutes and arcseconds.
- Navigation — reading bearings in degrees.
A short history of angle units
Angles were originally divided into 360 degrees by Babylonian astronomers using their base-60 number system. The radian, defined as the angle subtended by an arc equal to the radius, emerged in mathematical analysis in the 18th century. The gradian (or gon) divides a quarter circle into 100 parts and survives in surveying.
Common mistakes when converting angle
Calculator mode
Setting the calculator to the wrong mode (DEG vs RAD) is the most common source of trig errors.
Arcminute vs minute
1 arcminute is 1/60 of a degree (an angle), not a unit of time.
Gradian misuse
90° equals 100 gradians, not 90 or 360. Surveyors use it because right angles are round numbers.
Frequently asked questions
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