Convert Degrees to Revolutions

Enter your degree value in the form below to get the value calculated in revolutions.

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Results in Revolutions:
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1° = 0.002778 r

How to Convert Degrees to Revolutions Using an Easy Conversion Formula

Protractors are often used to measure angle

Convert degrees to revolutions with this simple formula:

revolutions = degrees × 0.002778

Converting a degree angle measurement to a revolution measurement involves multiplying your angle by the conversion ratio to find the result. A degree is equal to 0.002778 revolutions, so to convert simply multiply by 0.002778.

For example:
5° = (5 × 0.002778) = 0.013889 r

Degrees and revolutions are both units used to measure angle. Learn more about angle and find more angle measurement conversion calculators. A degree is an angle measurement and can be abbreviated as °, for example 1°. A revolution is an angle measurement and can be abbreviated as r, for example 1 r.

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.

There are 360 degrees in a revolution, or circle. 360 has 24 divisors, and is easily divided by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120 and 180. This makes 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.

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.

degrees and revolutions are units used to measure angle
Convert Revolutions to Degrees

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 Angle Conversions

Convert to Radians Angle
1° is equal to 0.017453 radians
Convert to Grad Angle
1° is equal to 1.111111 grad
Convert to Circles Angle
1° is equal to 0.002778 circles
Convert to Mils Angle
1° is equal to 17.777778 mils