Revolutions to Degrees Converter
Enter the angle in revolutions below to convert it to degrees.
Result in Degrees:
1 r = 360° 0′ 0″
Do you want to convert degrees to revolutions?
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How to Convert Revolutions to Degrees
To convert a measurement in revolutions to a measurement in degrees, multiply 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:
degrees = revolutions × 360
The angle in degrees is equal to the angle in revolutions multiplied by 360.
For example, here's how to convert 5 revolutions to degrees using the formula above.
degrees = (5 r × 360) = 1,800°
How Many Degrees Are in a Revolution?
There are 360 degrees in a revolution, which is why we use this value in the formula above.
1 r = 360°
Revolutions and degrees are both units used to measure angle. Keep reading to learn more about each unit of measure.
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.
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.
Revolution to Degree Conversion Table
| Revolutions | Degrees |
|---|---|
| 1 r | 360° |
| 2 r | 720° |
| 3 r | 1,080° |
| 4 r | 1,440° |
| 5 r | 1,800° |
| 6 r | 2,160° |
| 7 r | 2,520° |
| 8 r | 2,880° |
| 9 r | 3,240° |
| 10 r | 3,600° |
| 11 r | 3,960° |
| 12 r | 4,320° |
| 13 r | 4,680° |
| 14 r | 5,040° |
| 15 r | 5,400° |
| 16 r | 5,760° |
| 17 r | 6,120° |
| 18 r | 6,480° |
| 19 r | 6,840° |
| 20 r | 7,200° |
| 21 r | 7,560° |
| 22 r | 7,920° |
| 23 r | 8,280° |
| 24 r | 8,640° |
| 25 r | 9,000° |
| 26 r | 9,360° |
| 27 r | 9,720° |
| 28 r | 10,080° |
| 29 r | 10,440° |
| 30 r | 10,800° |
| 31 r | 11,160° |
| 32 r | 11,520° |
| 33 r | 11,880° |
| 34 r | 12,240° |
| 35 r | 12,600° |
| 36 r | 12,960° |
| 37 r | 13,320° |
| 38 r | 13,680° |
| 39 r | 14,040° |
| 40 r | 14,400° |
References
- Collins Dictionary, Definition of 'degree', https://www.collinsdictionary.com/us/dictionary/english/degree