Degrees to Radians Converter
Enter the angle in degrees below to convert it to radians.
Convert Degrees to Radians
Enter a value in degrees (°) to convert to radians (rad).
Degree to Radian Conversion Table
Table showing various degree measurements converted to radians. Click any preset value or arrow to load it into the converter.
| Degrees (°) | Radians (rad) |
|---|---|
| 1 ° | 0.0174533 rad |
| 2 ° | 0.0349066 rad |
| 5 ° | 0.0872665 rad |
| 10 ° | 0.1745329 rad |
| 15 ° | 0.2617994 rad |
| 20 ° | 0.3490659 rad |
| 25 ° | 0.4363323 rad |
| 30 ° | 0.5235988 rad |
| 50 ° | 0.8726646 rad |
| 75 ° | 1.3089969 rad |
How to Convert Degrees to Radians
To convert degrees to radians, multiply the angle by the following conversion ratio: 0.0174533 radians/degree.
Since one degree is equal to 0.0174533 radians, you can use this simple formula to convert:
The angle in radians is equal to the angle in degrees multiplied by 0.0174533.
For example, here's how to convert 180 degrees to radians using the formula above.
How Many Radians Are in a Degree?
There are 0.0174533 radians in a degree, which is why we use this value in the formula above.
Our degree to radian calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Degrees and radians are both units used to measure angle. Keep reading to learn more about each unit.
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. [1]
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.
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°). [2]
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.
When converting angle between degrees (°) and radians (rad), keep full floating-point precision (1 ° = 0.0174533 rad; 1 rad = 57.2957795 °) during intermediate calculations and round only the final radian figure to match your instrument tolerance.
More Degree & Radian Conversions
Need to calculate in the opposite direction? Use our radians to degrees converter (rad to °) to switch your starting unit immediately. You can also explore related tools such as converting degrees to gradians, converting arcminutes 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 — Degrees (°) to Radians (rad)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Degree (°) & Radian (rad)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (° to rad)