Convert Revolution to Radian
Live bidirectional calculator for Revolutions (rev) and Radians (rad) with verified formula and conversion charts.
Angle7 units
How the Calculation Works (Linear Scaling)
Since 1 Revolution = 6.283185 Radians, multiply the value in Revolutions by 6.283185.
Revolution to Radian Conversion Table
Precomputed values for quick reference and printing.
| Revolution | Radian |
|---|---|
| 1 rev | 6.2832 rad |
| 2 rev | 12.5664 rad |
| 3 rev | 18.8496 rad |
| 4 rev | 25.1327 rad |
| 5 rev | 31.4159 rad |
| 6 rev | 37.6991 rad |
| 7 rev | 43.9823 rad |
| 8 rev | 50.2655 rad |
| 9 rev | 56.5487 rad |
| 10 rev | 62.8319 rad |
| 15 rev | 94.2478 rad |
| 20 rev | 125.6637 rad |
| 25 rev | 157.0796 rad |
| 30 rev | 188.4956 rad |
| 40 rev | 251.3274 rad |
| 50 rev | 314.1593 rad |
| 75 rev | 471.2389 rad |
| 100 rev | 628.3185 rad |
| Radian | Revolution |
|---|---|
| 1 rad | 0.1592 rev |
| 2 rad | 0.3183 rev |
| 3 rad | 0.4775 rev |
| 4 rad | 0.6366 rev |
| 5 rad | 0.7958 rev |
| 6 rad | 0.9549 rev |
| 7 rad | 1.1141 rev |
| 8 rad | 1.2732 rev |
| 9 rad | 1.4324 rev |
| 10 rad | 1.5915 rev |
| 15 rad | 2.3873 rev |
| 20 rad | 3.1831 rev |
| 25 rad | 3.9789 rev |
| 30 rad | 4.7746 rev |
| 40 rad | 6.3662 rev |
| 50 rad | 7.9577 rev |
| 75 rad | 11.9366 rev |
| 100 rad | 15.9155 rev |
About Revolution (rev)
A complete rotation or full circular turn equal to exactly 360ยฐ or 2ฯ radians.
History: Natural circular period of rotating bodies and gear mechanisms.
Common Uses: Rotational speed (RPM = rev/min), electric motor shaft rotations, wind turbine rotations.
About Radian (rad)
The SI coherent derived unit of plane angle, subtended by an arc of length equal to its radius (180ยฐ / ฯ โ 57.29578ยฐ).
History: Coined by mathematician James Thomson in 1873; fundamental to mathematical analysis and trigonometry.
Common Uses: Calculus, angular velocity (rad/s), physics orbital mechanics.
โ Frequently Asked Questions
How many Radians are in 1 Revolution?
There are exactly 6.283185 Radians in 1 Revolution (1 rev = 6.283185 rad).
What is the formula to convert Revolution to Radian?
The formula is: Radian = Revolution ร 6.283185. Since 1 Revolution = 6.283185 Radians, multiply the value in Revolutions by 6.283185.
How do I convert 1 rev to rad manually?
To convert 1 rev to rad: apply the formula Radian = Revolution ร 6.283185. Substituting gives: 1 ร 6.283185 = 6.2832 rad.