Radians to Revolutions Converter
Enter the angle in radians below to convert it to revolutions.
Convert Radians to Revolutions
Enter a value in radians (rad) to convert to revolutions (rev).
Radian to Revolution Conversion Table
Table showing various radian measurements converted to revolutions. Click any preset value or arrow to load it into the converter.
| Radians (rad) | Revolutions (rev) |
|---|---|
| 1 rad | 0.1591549 rev |
| 2 rad | 0.3183099 rev |
| 3.142 rad | 0.5000648 rev |
| 5 rad | 0.7957747 rev |
| 6.283185 rad | 1 rev |
| 10 rad | 1.5915494 rev |
| 12.57 rad | 2.0005776 rev |
| 15 rad | 2.3873241 rev |
| 20 rad | 3.1830989 rev |
| 25 rad | 3.9788736 rev |
How to Convert Radians to Revolutions
To convert radians to revolutions, multiply the angle by the following conversion ratio: 0.1591549 revolutions/radian.
Since one radian is equal to 0.1591549 revolutions, you can use this simple formula to convert:
The angle in revolutions is equal to the angle in radians multiplied by 0.1591549.
For example, here's how to convert 6.283185 radians to revolutions using the formula above.
How Many Revolutions Are in a Radian?
There are 0.1591549 revolutions in a radian, which is why we use this value in the formula above.
Our radian to revolution calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Radians and revolutions 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 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 radians (rad) and revolutions (rev), keep full floating-point precision (1 rad = 0.1591549 rev; 1 rev = 6.2831853 rad) during intermediate calculations and round only the final revolution figure to match your instrument tolerance.
More Radian & Revolution Conversions
Need to calculate in the opposite direction? Use our revolutions to radians calculator to switch your starting unit immediately. You can also explore related tools such as converting revolutions to radians, converting radians to degrees, 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 — Radians (rad) to Revolutions (rev)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Radian (rad) & Revolution (Turn) (rev)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (rad to rev)