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Radian to Degree Converter
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Radian to Degree Formula
Conversion explanation: Multiply the value in Radian by 57.2957795131 to get the equivalent value in Degree.
Popular angle unit conversions
What is Radian to Degree Converter
A radian to degree converter translates angle measurements from radians (rad) to degrees (°). Using the fundamental geometric constant where pi radians equals 180 degrees, or 1 radian is about 57.29578 degrees, this tool ensures accurate math results. For related calculations, you can also check our degree to radian conversion tool.
Definitions of Radian and Degree
What is Radian?
A radian is the SI derived unit for measuring plane angles. It is defined as the angle subtended at the center of a circle by an arc equal in length to the radius. For related unit metrics, you can use our degree to gradian conversion tool.
What is Degree?
A degree of arc is a unit of plane angle measurement representing 1/360th of a full rotation. It is widely used in geometry, cartography, and astronomy. If you need to make other calculations, see our gradian to degree conversion tool.
How to Convert Radian to Degree
To convert a value from radians to degrees, multiply the value by the conversion multiplier:
Step-by-Step Example
Suppose you want to convert 5 radians to degrees. Using the conversion steps:
- Identify the multiplier factor:
57.2957795131. - Multiply 5 by the factor:
5 × 57.2957795131 = 286.4788975654. - Result: 5 radians is equal to 286.4788975654 degrees.
Radian to Degree Conversion Table
The table below provides quick reference conversions for common values from radians to degrees:
| Radian [rad] | Degree [deg] |
|---|---|
| 0.01 rad | 0.5729577951 deg |
| 0.1 rad | 5.7295779513 deg |
| 1 rad | 57.2957795131 deg |
| 2 rad | 114.5915590262 deg |
| 3 rad | 171.8873385392 deg |
| 4 rad | 229.1831180523 deg |
| 5 rad | 286.4788975654 deg |
| 6 rad | 343.7746770785 deg |
| 7 rad | 401.0704565916 deg |
| 8 rad | 458.3662361047 deg |
| 9 rad | 515.6620156177 deg |
| 10 rad | 572.9577951308 deg |
| 20 rad | 1145.9155902616 deg |
| 30 rad | 1718.8733853925 deg |
| 50 rad | 2864.7889756541 deg |
| 100 rad | 5729.5779513082 deg |
| 500 rad | 28647.8897565412 deg |
| 1000 rad | 57295.7795130823 deg |