Convert Degrees to Revolutions

Enter the angle in degrees below to get the value converted to revolutions.

Results in Revolutions:

1° = 0.002778 r

Do you want to convert revolutions to degrees?

How to Convert Degrees to Revolutions

Protractors are often used to measure angle

To convert a degree measurement to a revolution measurement, multiply the angle by the conversion ratio. One degree is equal to 0.002778 revolutions, so use this simple formula to convert:

revolutions = degrees × 0.002778

The angle in revolutions is equal to the degrees multiplied by 0.002778.

For example, here's how to convert 5 degrees to revolutions using the formula above.

5° = (5 × 0.002778) = 0.013889 r

Degrees and revolutions are both units used to measure angle. Keep reading to learn more about each unit of measure.

Degrees

A degree is a measure of angle equal to 1/360th of a revolution, or circle. The number 360 has 24 divisors, making it a fairly easy number to work with. There are also 360 days in the Persian calendar year, and many theorize that early astronomers used 1 degree per day.

Protractors are commonly used to measure angles in degrees. They are semi-circle or full-circle devices with degree markings allowing a user to measure an angle in degrees. Learn more about how to use a protractor or download a printable protractor.

The degree is an SI accepted unit for angle for use with the metric system. A degree is sometimes also referred to as a degree of arc, arc degree, or arcdegree. Degrees can be abbreviated as °, and are also sometimes abbreviated as deg. For exmaple, 1 degree can be written as 1° or 1 deg.

Degrees can also be expressed using minutes and seconds as an alternative to using the decimal form. Minutes and seconds are expressed using the prime (′) and double-prime (″) characters, although a single-quote and double-quote are often used for convenience.

One minute is equal to 1/60th of a degree and one second is equal to 1/60th of a minute.

Revolutions

A revolution is equal to 1 rotation around a circle, or 360°. Revolutions are commonly used to measure the speed of rotation, for example when measuring the revolutions per minute (RPM) of a vehicle's engine.

A revolution is sometimes also referred to as a turn or cycle. Revolutions can be abbreviated as r, for example 1 revolution can be written as 1 r.

Degree Measurements and Equivalent Revolution Conversions

Common degree values converted to the equivalent revolution value
Degrees	Revolutions
1°	0.002778 r
2°	0.005556 r
3°	0.008333 r
4°	0.011111 r
5°	0.013889 r
6°	0.016667 r
7°	0.019444 r
8°	0.022222 r
9°	0.025 r
10°	0.027778 r
11°	0.030556 r
12°	0.033333 r
13°	0.036111 r
14°	0.038889 r
15°	0.041667 r
16°	0.044444 r
17°	0.047222 r
18°	0.05 r
19°	0.052778 r
20°	0.055556 r
21°	0.058333 r
22°	0.061111 r
23°	0.063889 r
24°	0.066667 r
25°	0.069444 r
26°	0.072222 r
27°	0.075 r
28°	0.077778 r
29°	0.080556 r
30°	0.083333 r
31°	0.086111 r
32°	0.088889 r
33°	0.091667 r
34°	0.094444 r
35°	0.097222 r
36°	0.1 r
37°	0.102778 r
38°	0.105556 r
39°	0.108333 r
40°	0.111111 r