Degrees to Revolutions (deg to rev) Converter
1 degree equals 0.00277778 revolutions — divide the number of degrees by 360 (or multiply by 0.00277778) to convert. One full revolution is 360 degrees, so a single degree is 1 ÷ 360 = 0.00277778 of a turn. The factor is exact.
The formula
To convert degrees to revolutions, multiply by 0.00277778 (that is, divide by 360):
revolutions = degrees × 0.00277778
Example: 360 × 0.00277778 = 1 revolutionTo reverse it, divide revolutions by 0.00277778 (or multiply by 360) to get degrees.
Conversion table
| Degrees | Revolutions |
|---|---|
| 1 | 0.00277778 |
| 2 | 0.00555556 |
| 5 | 0.01388889 |
| 10 | 0.02777778 |
| 30 | 0.08333333 |
| 45 | 0.125 |
| 60 | 0.16666667 |
| 90 | 0.25 |
| 180 | 0.5 |
| 270 | 0.75 |
| 360 | 1 |
How to convert online
- Type the number of degrees into the first box.
- Read the revolutions value instantly in the second box.
- Or enter a revolution value to convert back to degrees — it works both ways.
Use the Degree to Revolution Converter — free and instant in your browser.
Where this conversion is used
Revolutions (full turns) matter in mechanics and motion control, where rotation is measured in turns or RPM. Converting degrees to revolutions helps when a rotated angle needs to be expressed as a fraction of a full turn — for gears, motors, servos, animation keyframes and clock or dial positions.
FAQ
How many revolutions are in a degree?
One degree equals 0.00277778 revolutions. Multiply degrees by 0.00277778 — for example, 90 degrees = 0.25 revolutions.
What is the formula to convert degrees to revolutions?
revolutions = degrees × 0.00277778, which is the same as dividing by 360.
How do I convert revolutions back to degrees?
Multiply revolutions by 360. For example, 0.5 rev × 360 = 180 degrees.
Is the conversion exact?
Yes. One revolution is defined as exactly 360 degrees, so the conversion is exact.
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