Radians to Degrees Converter
Enter the angle in radians below to convert it to degrees.
Convert Radians to Degrees
Enter a value in radians (rad) to convert to degrees (°).
Radian to Degree Conversion Table
Table showing various radian measurements converted to degrees. Click any preset value or arrow to load it into the converter.
| Radians (rad) | Degrees (°) |
|---|---|
| 1 rad | 57.2957795 ° |
| 1.571 rad | 90.0116696 ° |
| 2 rad | 114.591559 ° |
| 3.1415927 rad | 179.9999998 ° |
| 5 rad | 286.4788976 ° |
| 6.283 rad | 359.9893827 ° |
| 10 rad | 572.9577951 ° |
| 15 rad | 859.4366927 ° |
| 15.71 rad | 900.1166962 ° |
| 20 rad | 1,145.9155903 ° |
How to Convert Radians to Degrees
To convert radians to degrees, multiply the angle by the following conversion ratio: 57.2957795 degrees/radian.
Since one radian is equal to 57.2957795 degrees, you can use this simple formula to convert:
The angle in degrees is equal to the angle in radians multiplied by 57.2957795.
For example, here's how to convert 3.14159265 radians to degrees using the formula above.
How Many Degrees Are in a Radian?
There are 57.2957795 degrees in a radian, which is why we use this value in the formula above.
Our radian to degree calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Radians and degrees are both units used to measure angle. Keep reading to learn more about each unit.
What Is a Radian?
A radian is a unit of angle equal to 57.2957795 degrees (°), the base unit for angle. SI angle unit (1 rad ≈ 57.29578°). [1]
The radian is classified as an International System of Units (SI) unit of angle. Radians can be abbreviated as rad; for example, 1 radian can be written as 1 rad.
When working with radians (rad) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.
In practice, radians (rad) are widely used across standard angle applications within International System of Units (SI) workflows, engineering documentation, and technical data sheets.
What Is a Degree?
1/360 of a full circle. It serves as a primary reference unit for measuring angle across scientific and practical applications. [2]
The degree is classified as a standard unit of angle. Degrees can be abbreviated as °; for example, 1 degree can be written as 1 °.
As the primary coherent reference unit for angle in this category, all other angle units are mathematically anchored to the degree (°).
In practice, degrees (°) are widely used across standard angle applications within international standard workflows, engineering documentation, and technical data sheets.
When converting angle between radians (rad) and degrees (°), keep full floating-point precision (1 rad = 57.2957795 °; 1 ° = 0.0174533 rad) during intermediate calculations and round only the final degree figure to match your instrument tolerance.
More Radian & Degree Conversions
Need to calculate in the opposite direction? Use our degrees to radians converter (° to rad) to switch your starting unit immediately. You can also explore related tools such as converting arcminutes to degrees, converting angular mils to degrees, or converting radians to revolutions.
Frequently Asked Questions
References
- [1]NIST CUU StandardNIST CUU (Non-SI Units Accepted for Use (deg, arcmin, arcsec))·Angle Metrology Standard — Radians (rad) to Degrees (°)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Radian (rad) & Degree (°)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (rad to °)