Convert Degrees to Revolutions

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

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Results in Revolutions:
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1° = 0.002778 r

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.

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 example, 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.

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.

Revolutions

A revolution, or turn, 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, cycle, or complete rotation. Revolutions can be abbreviated as r, and are also sometimes abbreviated as rev or cyc. For example, 1 revolution can be written as 1 r, 1 rev, or 1 cyc.

Degree Measurements and Equivalent Revolution Conversions

Common degree values converted to the equivalent revolution value
Degrees Revolutions
0.002778 r
0.005556 r
0.008333 r
0.011111 r
0.013889 r
0.016667 r
0.019444 r
0.022222 r
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

More Degree Angle Conversions

Convert to Radians
1° is equal to 0.017453 radians
Convert to Milliradians
1° is equal to 17.453293 milliradians
Convert to Minutes Of Arc
1° is equal to 60 minutes of arc
Convert to Seconds Of Arc
1° is equal to 3,600 seconds of arc
Convert to Gradians
1° is equal to 1.111111 gradians
Convert to Circles
1° is equal to 0.002778 circles
Convert to Mils (NATO)
1° is equal to 17.777778 mils (NATO)