Circles to Degrees Converter
Enter the angle in circles below to convert it to degrees.
Result: Degrees
1 cir = 360° 0′ 0″
Do you want to convert degrees to circles?
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How to Convert Circles to Degrees
To convert circles to degrees, multiply the angle by the following conversion ratio: 360 degrees/circle.
Since one circle is equal to 360 degrees, you can use this simple formula to convert:
degrees = circles × 360
The angle in degrees is equal to the angle in circles multiplied by 360.
For example, here's how to convert 5 circles to degrees using the formula above.
degrees = (5 cir × 360) = 1,800°
How Many Degrees Are in a Circle?
There are 360 degrees in a circle, which is why we use this value in the formula above.
1 cir = 360°
Circles and degrees are both units used to measure angle. Keep reading to learn more about each unit.
What Is a Circle?
A circle is the equivalent of 1 revolution around a circle, or 360°.
A circle is sometimes also referred to as a revolution. Circles can be abbreviated as cir; for example, 1 circle can be written as 1 cir.
A circle is more commonly used to describe a round, symmetrical shape with no corners or edges than it is to describe plane angle. The shape is described by its radius and circumference.
Learn more about circles.
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 semicircle 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.
Circle to Degree Conversion Table
| Circles | Degrees |
|---|---|
| 1 cir | 360° |
| 2 cir | 720° |
| 3 cir | 1,080° |
| 4 cir | 1,440° |
| 5 cir | 1,800° |
| 6 cir | 2,160° |
| 7 cir | 2,520° |
| 8 cir | 2,880° |
| 9 cir | 3,240° |
| 10 cir | 3,600° |
| 11 cir | 3,960° |
| 12 cir | 4,320° |
| 13 cir | 4,680° |
| 14 cir | 5,040° |
| 15 cir | 5,400° |
| 16 cir | 5,760° |
| 17 cir | 6,120° |
| 18 cir | 6,480° |
| 19 cir | 6,840° |
| 20 cir | 7,200° |
| 21 cir | 7,560° |
| 22 cir | 7,920° |
| 23 cir | 8,280° |
| 24 cir | 8,640° |
| 25 cir | 9,000° |
| 26 cir | 9,360° |
| 27 cir | 9,720° |
| 28 cir | 10,080° |
| 29 cir | 10,440° |
| 30 cir | 10,800° |
| 31 cir | 11,160° |
| 32 cir | 11,520° |
| 33 cir | 11,880° |
| 34 cir | 12,240° |
| 35 cir | 12,600° |
| 36 cir | 12,960° |
| 37 cir | 13,320° |
| 38 cir | 13,680° |
| 39 cir | 14,040° |
| 40 cir | 14,400° |
References
- Collins Dictionary, Definition of 'degree', https://www.collinsdictionary.com/us/dictionary/english/degree