Degrees to Revolutions Converter
Enter the angle in degrees below to convert it to revolutions.
Result in Revolutions:
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How to Convert Degrees to Revolutions
To convert a measurement in degrees to a measurement in revolutions, divide the angle by the following conversion ratio: 360 degrees/revolution.
Since one revolution is equal to 360 degrees, you can use this simple formula to convert:
revolutions = degrees ÷ 360
The angle in revolutions is equal to the angle in degrees divided by 360.
For example, here's how to convert 500 degrees to revolutions using the formula above.
revolutions = (500° ÷ 360) = 1.388889 r
Degrees and revolutions are both units used to measure angle. Keep reading to learn more about each unit of measure.
What Is a Degree?
A degree is a measure of angle equal to 1/360th of a revolution, or circle.[1] 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 arcminutes and arcseconds as an alternative to using the decimal form. Arcminutes and arcseconds are expressed using the prime (′) and double-prime (″) characters, respectively, although a single-quote and double-quote are often used for convenience.
One arcminute is equal to 1/60th of a degree, and one arcsecond is equal to 1/60th of an arcminute.
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.
Learn more about degrees.
What Is a Revolution?
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.
Learn more about revolutions.
Degree to Revolution Conversion Table
| 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 |
| 20° | 0.055556 r |
| 30° | 0.083333 r |
| 40° | 0.111111 r |
| 50° | 0.138889 r |
| 60° | 0.166667 r |
| 70° | 0.194444 r |
| 80° | 0.222222 r |
| 90° | 0.25 r |
| 100° | 0.277778 r |
| 200° | 0.555556 r |
| 300° | 0.833333 r |
| 400° | 1.1111 r |
| 500° | 1.3889 r |
| 600° | 1.6667 r |
| 700° | 1.9444 r |
| 800° | 2.2222 r |
| 900° | 2.5 r |
| 1,000° | 2.7778 r |
References
- Collins Dictionary, Definition of 'degree', https://www.collinsdictionary.com/us/dictionary/english/degree