Radians to Degrees Converter
One Radian equals 57.29577951 Degrees (1 rad = 57.29577951 deg). Multiply a Radian value by 57.29577951 to get the equivalent in Degrees. Enter a value above to calculate the result. You can also use the formula and reference table below.
Formula
deg = rad × 57.29577951
Multiply the Radian value by 57.29577951 to get the equivalent value in Degrees.
Example Conversions
1 Radian (rad)
57.29577951 Degree (deg)
5 Radian (rad)
286.4788976 Degree (deg)
10 Radian (rad)
572.9577951 Degree (deg)
25 Radian (rad)
1432.394488 Degree (deg)
100 Radian (rad)
5729.577951 Degree (deg)
Conversion Table
| Radian (rad) | Degree (deg) |
|---|---|
| 0.1 | 5.729577951 |
| 0.5 | 28.64788976 |
| 1 | 57.29577951 |
| 2 | 114.591559 |
| 5 | 286.4788976 |
| 10 | 572.9577951 |
| 25 | 1432.394488 |
| 50 | 2864.788976 |
| 100 | 5729.577951 |
| 250 | 14323.94488 |
| 500 | 28647.88976 |
| 1000 | 57295.77951 |
How to Convert Manually
Use these steps to convert Radian values to Degree without the calculator.
- Write down the value in Radian (rad) that you want to convert.
- Multiply that value by 57.29577951.
- For example, 10 Radians × 57.29577951 = 572.9577951 Degrees.
- Label the result as Degree (deg).
Relative Size Comparison
This chart shows the visual difference in size between exactly one Radian and one Degree.
About Radian and Degree
The radian is the SI unit of angle: the angle whose arc length equals its radius, with 2π radians in a full turn. Calculus, physics, and programming math libraries work in radians. The degree is 1/360 of a full turn, a division inherited from Babylonian astronomy. Navigation, geometry, and everyday angle measurement default to degrees. One Radian equals 57.29577951 Degrees (1 rad = 57.29577951 deg). Radian is used in physics and engineering formulas and in programming math functions. Degree is used in navigation headings.
Precision and Rounding:Angle conversions are exact ratios of a full turn, but radian values involve π and never terminate in decimal form. Navigation and construction round to whole degrees or minutes; surveying, astronomy, and robotics carry six or more significant figures.
Conversion factors per NIST Special Publication 811 and the BIPM SI Brochure (9th edition) (reference).
Worked Example
15Radians equals859.4366927Degrees.
15 rad × 57.29577951 = 859.4366927 deg
FAQ
How do I convert Radian to Degree?
Multiply the Radian value by 57.29577951 to get the equivalent value in Degrees.
What is the formula for Radian to Degree?
The formula is deg = rad × 57.29577951.
How many Degrees are in 1 Radian?
1 Radian equals 57.29577951 Degrees.
Can I convert Degree back to Radian?
Yes. 1 Degree equals 0.01745329252 Radians, and the related converter can reverse the calculation.
What are common names for Radian and Degree?
Radian is shown as rad and may also be searched as radian, radians. Degree is shown as deg and may also be searched as degree, degrees, °.
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