Degrees to Revolutions (° → rev)
Formula
1 ° = 0.002777777777777778 revConversion Table
| ° | rev |
|---|---|
| 0 | 0 |
| 1.0000 | 0.0027778 |
| 2.0000 | 0.0055556 |
| 3.0000 | 0.0083333 |
| 4.0000 | 0.011111 |
| 5.0000 | 0.013889 |
| 6.0000 | 0.016667 |
| 7.0000 | 0.019444 |
| 8.0000 | 0.022222 |
| 9.0000 | 0.025000 |
| 10.000 | 0.027778 |
| 11.000 | 0.030556 |
| 12.000 | 0.033333 |
| 13.000 | 0.036111 |
| 14.000 | 0.038889 |
| 15.000 | 0.041667 |
| 16.000 | 0.044444 |
| 17.000 | 0.047222 |
| 18.000 | 0.050000 |
| 19.000 | 0.052778 |
| ° | rev |
|---|---|
| 20.000 | 0.055556 |
| 21.000 | 0.058333 |
| 22.000 | 0.061111 |
| 23.000 | 0.063889 |
| 24.000 | 0.066667 |
| 25.000 | 0.069444 |
| 26.000 | 0.072222 |
| 27.000 | 0.075000 |
| 28.000 | 0.077778 |
| 29.000 | 0.080556 |
| 30.000 | 0.083333 |
| 31.000 | 0.086111 |
| 32.000 | 0.088889 |
| 33.000 | 0.091667 |
| 34.000 | 0.094444 |
| 35.000 | 0.097222 |
| 36.000 | 0.10000 |
| 37.000 | 0.10278 |
| 38.000 | 0.10556 |
| 39.000 | 0.10833 |
| ° | rev |
|---|---|
| 40.000 | 0.11111 |
| 41.000 | 0.11389 |
| 42.000 | 0.11667 |
| 43.000 | 0.11944 |
| 44.000 | 0.12222 |
| 45.000 | 0.12500 |
| 46.000 | 0.12778 |
| 47.000 | 0.13056 |
| 48.000 | 0.13333 |
| 49.000 | 0.13611 |
| 50.000 | 0.13889 |
| 51.000 | 0.14167 |
| 52.000 | 0.14444 |
| 53.000 | 0.14722 |
| 54.000 | 0.15000 |
| 55.000 | 0.15278 |
| 56.000 | 0.15556 |
| 57.000 | 0.15833 |
| 58.000 | 0.16111 |
| 59.000 | 0.16389 |
| ° | rev |
|---|---|
| 60.000 | 0.16667 |
| 61.000 | 0.16944 |
| 62.000 | 0.17222 |
| 63.000 | 0.17500 |
| 64.000 | 0.17778 |
| 65.000 | 0.18056 |
| 66.000 | 0.18333 |
| 67.000 | 0.18611 |
| 68.000 | 0.18889 |
| 69.000 | 0.19167 |
| 70.000 | 0.19444 |
| 71.000 | 0.19722 |
| 72.000 | 0.20000 |
| 73.000 | 0.20278 |
| 74.000 | 0.20556 |
| 75.000 | 0.20833 |
| 76.000 | 0.21111 |
| 77.000 | 0.21389 |
| 78.000 | 0.21667 |
| 79.000 | 0.21944 |
Degrees to Revolutions Conversion
Converting Degrees (°) to Revolutions (rev) is a common angle conversion. 1 ° equals 0.002778 rev. For example, 100 ° is equal to 0.277778 rev.
Quick Mental Math: Degrees to Revolutions
360 degrees is 1 revolution, so scale from that anchor.
Why is converting Degrees to Revolutions tricky?
degrees and revolutions split one full turn into different counts, so people often flip the ratio and divide when they should multiply.
Quick Reference Values
1 ° = 0.002778 rev. 5 ° = 0.013889 rev. 10 ° = 0.027778 rev. 25 ° = 0.069444 rev. 50 ° = 0.138889 rev. 100 ° = 0.277778 rev.
What is Degrees?
Degrees (°) is a unit of angle. A degree is a unit of angular measurement defined as 1/360 of a full rotation or circle. One degree equals exactly π/180 radians, aligning with the International System of Units (SI) conventions for angles. It is commonly used in geometry, navigation, and geospatial coordinates to measure angles and directions [iso-80000]. The degree originated with the ancient Babylonians around 3000 BCE, who divided a circle into 360 parts likely based on their sexagesimal numeral system. This system was formalized over centuries and incorporated into modern angle measurement standards. The consistent division into 360 degrees became globally accepted due to its mathematical convenience and historical use [iso-80000]. Degrees are used worldwide in navigation, astronomy, cartography, and engineering. Countries including the United States, Canada, and members of the European Union employ degrees for geographic coordinates. Scientific organizations such as ISO and BIPM recognize degrees as a standard unit for angles [bipm-si-brochure].
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].
Common Misspellings
People often search for this conversion using these alternate spellings: degres, degreess, degreees, degre, degr, revolution, revolutin, revoultion. All of these refer to the Degrees to Revolutions conversion.