Degrees to Revolutions Converter
Enter the angle in degrees below to convert it to revolutions.
Convert Degrees to Revolutions
Enter a value in degrees (°) to convert to revolutions (rev).
Degree to Revolution Conversion Table
Table showing various degree measurements converted to revolutions. Click any preset value or arrow to load it into the converter.
| Degrees (°) | Revolutions (rev) |
|---|---|
| 1 ° | 0.0027778 rev |
| 2 ° | 0.0055556 rev |
| 2.5 ° | 0.0069444 rev |
| 5 ° | 0.0138889 rev |
| 10 ° | 0.0277778 rev |
| 15 ° | 0.0416667 rev |
| 20 ° | 0.0555556 rev |
| 25 ° | 0.0694444 rev |
| 30 ° | 0.0833333 rev |
| 50 ° | 0.1388889 rev |
How to Convert Degrees to Revolutions
To convert degrees to revolutions, multiply the angle by the following conversion ratio: 0.0027778 revolutions/degree.
Since one degree is equal to 0.0027778 revolutions, you can use this simple formula to convert:
The angle in revolutions is equal to the angle in degrees multiplied by 0.0027778.
For example, here's how to convert 5 degrees to revolutions using the formula above.
How Many Revolutions Are in a Degree?
There are 0.0027778 revolutions in a degree, which is why we use this value in the formula above.
Our degree to revolution calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Degrees and revolutions 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 Revolution?
A revolution is a unit of angle equal to 360 degrees (°), the base unit for angle. Complete 360° circle (2π radians). [2]
The revolution is classified as a standard unit of angle. Revolutions can be abbreviated as rev; for example, 1 revolution can be written as 1 rev.
When working with revolutions (rev) in formulas or technical specifications, always verify whether your target system uses SI metric, US customary, or British imperial standards.
In practice, revolutions (rev) are widely used across standard angle applications within international standard workflows, engineering documentation, and technical data sheets.
When converting angle between degrees (°) and revolutions (rev), keep full floating-point precision (1 ° = 0.0027778 rev; 1 rev = 360 °) during intermediate calculations and round only the final revolution figure to match your instrument tolerance.
More Degree & Revolution Conversions
Need to calculate in the opposite direction? Use our revolutions to degrees calculator to switch your starting unit immediately. You can also explore related tools such as converting revolutions to degrees, converting radians to revolutions, or converting degrees to radians.
Frequently Asked Questions
References
- [1]NIST CUU StandardNIST CUU (Non-SI Units Accepted for Use (deg, arcmin, arcsec))·Angle Metrology Standard — Degrees (°) to Revolutions (rev)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Degree (°) & Revolution (Turn) (rev)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (° to rev)