Revolutions Conversion
The revolution is a unit used to measure angle. Use one of the conversion calculators below to convert to another unit of measure, or read on to learn more about revolutions.
Revolution Conversion Calculators
Choose a unit of angle to convert to.
- Convert revolutions to radians
- 1 revolution is equal to 6.283185 radians
- Convert revolutions to milliradians
- 1 revolution is equal to 6,283 milliradians
- Convert revolutions to degrees
- 1 revolution is equal to 360 degrees
- Convert revolutions to minutes of arc
- 1 revolution is equal to 21,600 minutes of arc
- Convert revolutions to seconds of arc
- 1 revolution is equal to 1,296,000 seconds of arc
- Convert revolutions to gradians
- 1 revolution is equal to 400 gradians
- Convert revolutions to circles
- 1 revolution is equal to 1 circle
- Convert revolutions to mils (NATO)
- 1 revolution is equal to 6,400 mils (NATO)
Revolution Definition and Usage
A revolution, or turn, is equal to 1 rotation around a circle, or 360°. Revolutions are commonly used to measure the speed of rotation, for example when measuring the revolutions per minute (RPM) of a vehicle's engine.
A revolution is sometimes also referred to as a turn, cycle, or complete rotation. Revolutions can be abbreviated as r, and are also sometimes abbreviated as rev or cyc. For example, 1 revolution can be written as 1 r, 1 rev, or 1 cyc.
Revolutions Measurement Conversion Table
| revolutions | radians | milliradians | degrees | minutes of arc | seconds of arc | gradians | circles | mils (NATO) |
|---|---|---|---|---|---|---|---|---|
| 1 r | 6.283185 rad | 6,283 mrad | 360° | 21,600' | 1,296,000" | 400g | 1 cir | 6,400 mil |
| 2 r | 12.566371 rad | 12,566 mrad | 720° | 43,200' | 2,592,000" | 800g | 2 cir | 12,800 mil |
| 3 r | 18.849556 rad | 18,850 mrad | 1,080° | 64,800' | 3,888,000" | 1,200g | 3 cir | 19,200 mil |
| 4 r | 25.132741 rad | 25,133 mrad | 1,440° | 86,400' | 5,184,000" | 1,600g | 4 cir | 25,600 mil |
| 5 r | 31.415927 rad | 31,416 mrad | 1,800° | 108,000' | 6,480,000" | 2,000g | 5 cir | 32,000 mil |
| 6 r | 37.699112 rad | 37,699 mrad | 2,160° | 129,600' | 7,776,000" | 2,400g | 6 cir | 38,400 mil |
| 7 r | 43.982297 rad | 43,982 mrad | 2,520° | 151,200' | 9,072,000" | 2,800g | 7 cir | 44,800 mil |
| 8 r | 50.265482 rad | 50,265 mrad | 2,880° | 172,800' | 10,368,000" | 3,200g | 8 cir | 51,200 mil |
| 9 r | 56.548668 rad | 56,549 mrad | 3,240° | 194,400' | 11,664,000" | 3,600g | 9 cir | 57,600 mil |
| 10 r | 62.831853 rad | 62,832 mrad | 3,600° | 216,000' | 12,960,000" | 4,000g | 10 cir | 64,000 mil |
| 11 r | 69.115038 rad | 69,115 mrad | 3,960° | 237,600' | 14,256,000" | 4,400g | 11 cir | 70,400 mil |
| 12 r | 75.398224 rad | 75,398 mrad | 4,320° | 259,200' | 15,552,000" | 4,800g | 12 cir | 76,800 mil |
| 13 r | 81.681409 rad | 81,681 mrad | 4,680° | 280,800' | 16,848,000" | 5,200g | 13 cir | 83,200 mil |
| 14 r | 87.964594 rad | 87,965 mrad | 5,040° | 302,400' | 18,144,000" | 5,600g | 14 cir | 89,600 mil |
| 15 r | 94.24778 rad | 94,248 mrad | 5,400° | 324,000' | 19,440,000" | 6,000g | 15 cir | 96,000 mil |
| 16 r | 100.530965 rad | 100,531 mrad | 5,760° | 345,600' | 20,736,000" | 6,400g | 16 cir | 102,400 mil |
| 17 r | 106.81415 rad | 106,814 mrad | 6,120° | 367,200' | 22,032,000" | 6,800g | 17 cir | 108,800 mil |
| 18 r | 113.097336 rad | 113,097 mrad | 6,480° | 388,800' | 23,328,000" | 7,200g | 18 cir | 115,200 mil |
| 19 r | 119.380521 rad | 119,381 mrad | 6,840° | 410,400' | 24,624,000" | 7,600g | 19 cir | 121,600 mil |
| 20 r | 125.663706 rad | 125,664 mrad | 7,200° | 432,000' | 25,920,000" | 8,000g | 20 cir | 128,000 mil |
