How many revolutions are in a degree?

1 ° = 0.002778 rev. To convert any amount, multiply by 0.002778.

How do you convert degrees to revolutions?

Multiply the number of degrees by 0.002778 to get revolutions. The formula is shown in the "How it's calculated" section above.

Where does the conversion factor come from?

It's a published international standard. Most are defined exactly by international agreement (e.g. 1 inch = 25.4 mm exactly, 1 lb = 0.45359237 kg exactly). Source citations are listed under the formula above.

Unit converter — Angle

Degrees to revolutions converter

Convert degrees (°) to revolutions (rev). Source-cited conversion factor, exact to the displayed precision.

Results are mathematically exact for the displayed precision. How we calculate.

How it's calculated

Convert degrees to revolutions— the formula

Degrees convert to revolutions by multiplying by the published conversion factor. The factor below is exact to the precision shown, sourced from the citation under the formula.

rev = ° × 0.002778

° = rev × 360

Radian: SI coherent derived unit for plane angle (BIPM). 1 full turn = 2π rad = 360° = 400 gon = 1 rev. 1° = 60 arcminutes = 3600 arcseconds (exact, by definition).

Questions

Frequently asked questions

How many revolutions are in a degree?
1 ° = 0.002778 rev. To convert any amount, multiply by 0.002778.
How do you convert degrees to revolutions?
Multiply the number of degrees by 0.002778 to get revolutions. The formula is shown in the "How it's calculated" section above.
Where does the conversion factor come from?
It's a published international standard. Most are defined exactly by international agreement (e.g. 1 inch = 25.4 mm exactly, 1 lb = 0.45359237 kg exactly). Source citations are listed under the formula above.