Revolutions to Radians (rev → rad)
Formula
1 rev = 6.283185307179586 radConversion Table
| rev | rad |
|---|---|
| 0 | 0 |
| 1.0000 | 6.2832 |
| 2.0000 | 12.566 |
| 3.0000 | 18.850 |
| 4.0000 | 25.133 |
| 5.0000 | 31.416 |
| 6.0000 | 37.699 |
| 7.0000 | 43.982 |
| 8.0000 | 50.265 |
| 9.0000 | 56.549 |
| 10.000 | 62.832 |
| 11.000 | 69.115 |
| 12.000 | 75.398 |
| 13.000 | 81.681 |
| 14.000 | 87.965 |
| 15.000 | 94.248 |
| 16.000 | 100.53 |
| 17.000 | 106.81 |
| 18.000 | 113.10 |
| 19.000 | 119.38 |
| rev | rad |
|---|---|
| 20.000 | 125.66 |
| 21.000 | 131.95 |
| 22.000 | 138.23 |
| 23.000 | 144.51 |
| 24.000 | 150.80 |
| 25.000 | 157.08 |
| 26.000 | 163.36 |
| 27.000 | 169.65 |
| 28.000 | 175.93 |
| 29.000 | 182.21 |
| 30.000 | 188.50 |
| 31.000 | 194.78 |
| 32.000 | 201.06 |
| 33.000 | 207.35 |
| 34.000 | 213.63 |
| 35.000 | 219.91 |
| 36.000 | 226.19 |
| 37.000 | 232.48 |
| 38.000 | 238.76 |
| 39.000 | 245.04 |
| rev | rad |
|---|---|
| 40.000 | 251.33 |
| 41.000 | 257.61 |
| 42.000 | 263.89 |
| 43.000 | 270.18 |
| 44.000 | 276.46 |
| 45.000 | 282.74 |
| 46.000 | 289.03 |
| 47.000 | 295.31 |
| 48.000 | 301.59 |
| 49.000 | 307.88 |
| 50.000 | 314.16 |
| 51.000 | 320.44 |
| 52.000 | 326.73 |
| 53.000 | 333.01 |
| 54.000 | 339.29 |
| 55.000 | 345.58 |
| 56.000 | 351.86 |
| 57.000 | 358.14 |
| 58.000 | 364.42 |
| 59.000 | 370.71 |
| rev | rad |
|---|---|
| 60.000 | 376.99 |
| 61.000 | 383.27 |
| 62.000 | 389.56 |
| 63.000 | 395.84 |
| 64.000 | 402.12 |
| 65.000 | 408.41 |
| 66.000 | 414.69 |
| 67.000 | 420.97 |
| 68.000 | 427.26 |
| 69.000 | 433.54 |
| 70.000 | 439.82 |
| 71.000 | 446.11 |
| 72.000 | 452.39 |
| 73.000 | 458.67 |
| 74.000 | 464.96 |
| 75.000 | 471.24 |
| 76.000 | 477.52 |
| 77.000 | 483.81 |
| 78.000 | 490.09 |
| 79.000 | 496.37 |
Revolutions to Radians Conversion
Converting Revolutions (rev) to Radians (rad) is a common angle conversion. 1 rev equals 6.283185 rad. For example, 100 rev is equal to 628.318531 rad.
Quick Mental Math: Revolutions to Radians
0.1592 revolutions is about 1 radian, so use that as a quick check.
Why is converting Revolutions to Radians tricky?
revolutions to radians hides a pi-based factor, so treating the step as a clean base-10 shift gives the wrong size.
Quick Reference Values
1 rev = 6.283185 rad. 5 rev = 31.415927 rad. 10 rev = 62.831853 rad. 25 rev = 157.079633 rad. 50 rev = 314.159265 rad. 100 rev = 628.318531 rad.
What is Revolutions?
Revolutions (rev) is a unit of angle. A revolution measures one complete turn around a circle, equal to 360 degrees or 2π radians. It quantifies rotational motion and is used in mechanics and engineering [iso-80000]. The concept of revolution as a unit of rotation dates back to classical mechanics and was standardized with the formal adoption of radians and degrees in angular measurements by international bodies [iso-80000]. Revolutions are widely used in automotive, mechanical engineering, and physics to describe rotations per minute (rpm) and angular displacement [nist-si-guide].
What is Radians?
Radians (rad) is a unit of angle. A radian is the SI unit of plane angle defined as the angle subtended at the center of a circle by an arc equal in length to the radius. One radian equals approximately 57.2958 degrees or exactly 1 rad = radius/arc length ratio. It is a dimensionless unit used extensively in mathematics, physics, and engineering [bipm-si-brochure]. The radian concept was formalized in the 19th century, with mathematicians like Roger Cotes contributing to its development. The radian was adopted as the standard angular unit in the SI system to provide a natural measure of angles based on circle geometry [bipm-si-brochure]. Radians are the standard unit of angular measurement in science, engineering, and technology worldwide. They are used in trigonometry, rotational dynamics, and signal processing, with formal adoption by the BIPM and ISO 80000 standards [bipm-si-brochure, iso-80000].
Common Misspellings
People often search for this conversion using these alternate spellings: revolution, revolutin, revoultion, radianes, radias, radans, radiens. All of these refer to the Revolutions to Radians conversion.