Circles to Degrees Converter
Enter the angle in circles below to convert it to degrees.
Result in 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 a measurement in circles to a measurement in 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 of measure.
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 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.
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