Convert degrees to revolutions
Degrees to revolutions. Enter a value to convert, or use the degrees to revolutions chart further down the page.
1 degree equals 0.002777777778 revolutions. Going the other way, 1 revolution = 360 degrees.
How to convert degrees to revolutions
To convert degrees to revolutions, multiply the degree value by 0.002777777778. You can also divide by 360 to get the same answer.
rev = ° × 0.002777777778
Worked example
Convert 45 ° to revolutions:
45 ° = 0.125 rev
degrees to revolutions conversion chart
Use this degrees to revolutions table for quick reference without typing anything.
| degrees (°) | revolutions (rev) |
|---|---|
| 1 ° | 0.002777777778 rev |
| 5 ° | 0.01388888889 rev |
| 10 ° | 0.02777777778 rev |
| 15 ° | 0.04166666667 rev |
| 30 ° | 0.08333333333 rev |
| 45 ° | 0.125 rev |
| 60 ° | 0.1666666667 rev |
| 90 ° | 0.25 rev |
| 180 ° | 0.5 rev |
| 270 ° | 0.75 rev |
| 360 ° | 1 rev |
What is a degree?
A degree is 1/360 of a full turn. The division into 360 comes from ancient Babylonian astronomy.
What is a revolution?
One revolution is a complete turn: 360 degrees, or 2π radians.
Frequently asked questions
How many revolutions are in a degree?
1 degrees equals 0.002777777778 revolutions. Going the other way, 1 revolutions is 360 degrees.
How do you convert degrees to revolutions?
To convert degrees to revolutions, multiply the degree value by 0.002777777778. You can also divide by 360 to get the same answer.
What is 10 degrees in revolutions?
10 degrees equals 0.02777777778 revolutions. The conversion chart on this page lists the other values people look up most often.
Related angle conversions
Convert degrees to other units
- revolutions to degrees
- degrees to radians
- degrees to gradians
- degrees to arcminutes
- degrees to arcseconds
Convert other units to revolutions
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