Revolutions to Radians Converter
Enter the angle in revolutions below to convert it to radians.
Convert Revolutions to Radians
Enter a value in revolutions (rev) to convert to radians (rad).
Revolution to Radian Conversion Table
Table showing various revolution measurements converted to radians. Click any preset value or arrow to load it into the converter.
| Revolutions (rev) | Radians (rad) |
|---|---|
| 1 rev | 6.2831853 rad |
| 2 rev | 12.5663706 rad |
| 2.5 rev | 15.7079633 rad |
| 5 rev | 31.4159265 rad |
| 10 rev | 62.8318531 rad |
| 15 rev | 94.2477796 rad |
| 20 rev | 125.6637061 rad |
| 25 rev | 157.0796327 rad |
| 30 rev | 188.4955592 rad |
| 50 rev | 314.1592654 rad |
How to Convert Revolutions to Radians
To convert revolutions to radians, multiply the angle by the following conversion ratio: 6.2831853 radians/revolution.
Since one revolution is equal to 6.2831853 radians, you can use this simple formula to convert:
The angle in radians is equal to the angle in revolutions multiplied by 6.2831853.
For example, here's how to convert 5 revolutions to radians using the formula above.
How Many Radians Are in a Revolution?
There are 6.2831853 radians in a revolution, which is why we use this value in the formula above.
Our revolution to radian calculator automatically converts your angle measurements with full decimal and scientific precision across US customary, imperial, and SI metric standards.
Revolutions and radians are both units used to measure angle. Keep reading to learn more about each unit.
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). [1]
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.
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 revolutions (rev) and radians (rad), keep full floating-point precision (1 rev = 6.2831853 rad; 1 rad = 0.1591549 rev) during intermediate calculations and round only the final radian figure to match your instrument tolerance.
More Revolution & Radian Conversions
Need to calculate in the opposite direction? Use our radians to revolutions converter (rad to rev) to switch your starting unit immediately. You can also explore related tools such as converting degrees to radians, converting radians to degrees, or converting degrees to gradians.
Frequently Asked Questions
References
- [1]NIST CUU StandardNIST CUU (Non-SI Units Accepted for Use (deg, arcmin, arcsec))·Angle Metrology Standard — Revolutions (rev) to Radians (rad)
- [2]NIST SI SpecificationNIST SI (SI Coherent Unit: Radian (rad))·Unit Specifications: Revolution (Turn) (rev) & Radian (rad)
- [3]NIST SP 811 ReferenceNIST SP 811 (NIST SP 811 App. B.9 (Plane Angle))·Conversion Factors & Mathematical Basis (rev to rad)