Protractors are often used to measure angle

Convert Degrees to Revolutions

Convert from degrees to revolutions with this simple formula:
revolutions = degrees × 0.002778
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1 Degree = 0.002778 Revolutions

Learn How to Convert Degrees to Revolutions Using our Conversion Formula

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

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

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