Convert Degrees to Revolutions

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

Results in Revolutions:

1 ° = 0.002778 r

How to Convert Degrees to Revolutions Using an Easy Conversion Formula

Protractors are often used to measure angle

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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) = 0.013889r

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 1r.

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	Degrees	Revolutions	Degrees	Revolutions
1	0.002778	21	0.058333	41	0.113889
2	0.005556	22	0.061111	42	0.116667
3	0.008333	23	0.063889	43	0.119444
4	0.011111	24	0.066667	44	0.122222
5	0.013889	25	0.069444	45	0.125
6	0.016667	26	0.072222	46	0.127778
7	0.019444	27	0.075	47	0.130556
8	0.022222	28	0.077778	48	0.133333
9	0.025	29	0.080556	49	0.136111
10	0.027778	30	0.083333	50	0.138889
11	0.030556	31	0.086111	51	0.141667
12	0.033333	32	0.088889	52	0.144444
13	0.036111	33	0.091667	53	0.147222
14	0.038889	34	0.094444	54	0.15
15	0.041667	35	0.097222	55	0.152778
16	0.044444	36	0.1	56	0.155556
17	0.047222	37	0.102778	57	0.158333
18	0.05	38	0.105556	58	0.161111
19	0.052778	39	0.108333	59	0.163889
20	0.055556	40	0.111111	60	0.166667