Convert Degrees to Revolutions (° to rev)
1 degree (°) = 0.002777777778 revolutions (rev). 1 rev = 360 °. Example: 15 ° = 15 × 0.002777777778 = 0.04166666667 rev.
Also searched as degrees to rev, degrees in rev, degrees into revolutions, ° to rev, ° in revolutions, ° into revolution, degree to revolution, ° to revolutions converter and how many revolutions in a degree.
1 ° = 0.002777777778 rev
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk degree to revolution converter to paste a column from Excel.
How to Convert Degree to Revolution
- 1 ° = 0.002777777778 rev
- 1 rev = 360 °
- Example: convert 15 ° to rev: 15 ° = 15 × 0.002777777778 rev = 0.04166666667 rev
Formula
rev = ° ÷ 360
Derivation from SI units:
- 1° = π/180 rad exactly; a full turn is 360°.
- 1 revolution = 2π rad = 360°.
- 1 ° = 0.01745329251994 rad ÷ 6.28318530718 rad per rev = 0.002777777777778 rev
Both units are defined exactly, so the factor is exact. Degree definition: degree; Revolution definition: revolution.
Worked examples
- A reading of 45 ° converts to 0.125 rev.
45 ° × 0.002777777778 = 0.125 rev - A value of 120 ° is 0.3333333333 rev.
120 ° × 0.002777777778 = 0.3333333333 rev
Degree to Revolution conversion table
| Degrees (°) | Revolutions (rev) |
|---|---|
| 1 ° | 0.002777777778 rev |
| 15 ° | 0.04166666667 rev |
| 30 ° | 0.08333333333 rev |
| 45 ° | 0.125 rev |
| 60 ° | 0.1666666667 rev |
| 90 ° | 0.25 rev |
| 120 ° | 0.3333333333 rev |
| 180 ° | 0.5 rev |
| 270 ° | 0.75 rev |
| 360 ° | 1 rev |
Where it's used
Degrees are used for geometry, surveying and navigation, while revolutions appear in rotating machinery (rpm). Both measure plane angle, so the conversion is a fixed factor.
Degree to other angle units
| Conversion | 1 ° equals |
|---|---|
| degree to revolution | 0.002777777778 rev |
| degree to radian | 0.01745329252 rad |
| degree to gradian | 1.111111111 gon |
| degree to minute of arc | 60 ′ |
| degree to second of arc | 3600 ″ |
Frequently asked questions
How many revolutions are in 1 degree?
1 ° = 0.002777777778 rev.
How do I convert degrees to revolutions?
Multiply the value in ° by 0.002777777778, or divide it by 360. For example, 15 ° × 0.002777777778 = 0.04166666667 rev.
Is the ° to rev conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 4 (radian) and Table 8 (non-SI units accepted for use with the SI).
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Degrees to Revolutions (° to rev). Retrieved October 25, 2026, from https://scientificconverters.com/angle/degrees-to-revolutions/
IEEE
Scientific Converters, "Convert Degrees to Revolutions (° to rev)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/angle/degrees-to-revolutions/