Gradians to Degrees Converter
Enter the angle in gradians below to get the value converted to degrees.
Result in Degrees:
1g = 0° 54′ 0″
Do you want to convert degrees to gradians?
How to Convert Gradians to Degrees
To convert a measurement in gradians to a measurement in degrees, multiply the angle by the following conversion ratio: 0.9 degrees/gradian.
Since one gradian is equal to 0.9 degrees, you can use this simple formula to convert:
degrees = gradians × 0.9
The angle in degrees is equal to the angle in gradians multiplied by 0.9.
How Many Degrees Are in a Gradian?
There are 0.9 degrees in a gradian, which is why we use this value in the formula above.
1g = 0.9°
Gradians and degrees are both units used to measure angle. Keep reading to learn more about each unit of measure.
What Is a Gradian?
A gradian is equal to 1/400 of a revolution or circle, or 9/10°. The grad, or gon, is more precisely defined as π/200, or 1.570796 × 10-2 radians.[1]
This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.
Gradians | Degrees |
---|---|
0 grad | 0° |
100 grad | 90° |
200 grad | 180° |
300 grad | 270° |
400 grad | 360° |
A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as g, and are also sometimes abbreviated as gr or grd. For example, 1 gradian can be written as 1g, 1 gr, or 1 grd.
In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.
Learn more about gradians.
What Is a Degree?
A degree is a measure of angle equal to 1/360th of a revolution, or circle.[2] 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.
Gradian to Degree Conversion Table
Gradians | Degrees (decimal) | Degrees (minutes & seconds) |
---|---|---|
1g | 0.9" | 0° 54′ 0″ |
2g | 1.8" | 1° 48′ 0″ |
3g | 2.7" | 2° 42′ 0″ |
4g | 3.6" | 3° 36′ 0″ |
5g | 4.5" | 4° 30′ 0″ |
6g | 5.4" | 5° 24′ 0″ |
7g | 6.3" | 6° 18′ 0″ |
8g | 7.2" | 7° 12′ 0″ |
9g | 8.1" | 8° 6′ 0″ |
10g | 9" | 9° 0′ 0″ |
11g | 9.9" | 9° 54′ 0″ |
12g | 10.8" | 10° 48′ 0″ |
13g | 11.7" | 11° 42′ 0″ |
14g | 12.6" | 12° 36′ 0″ |
15g | 13.5" | 13° 30′ 0″ |
16g | 14.4" | 14° 24′ 0″ |
17g | 15.3" | 15° 18′ 0″ |
18g | 16.2" | 16° 12′ 0″ |
19g | 17.1" | 17° 6′ 0″ |
20g | 18" | 18° 0′ 0″ |
21g | 18.9" | 18° 54′ 0″ |
22g | 19.8" | 19° 48′ 0″ |
23g | 20.7" | 20° 42′ 0″ |
24g | 21.6" | 21° 36′ 0″ |
25g | 22.5" | 22° 30′ 0″ |
26g | 23.4" | 23° 24′ 0″ |
27g | 24.3" | 24° 18′ 0″ |
28g | 25.2" | 25° 12′ 0″ |
29g | 26.1" | 26° 6′ 0″ |
30g | 27" | 27° 0′ 0″ |
31g | 27.9" | 27° 54′ 0″ |
32g | 28.8" | 28° 48′ 0″ |
33g | 29.7" | 29° 42′ 0″ |
34g | 30.6" | 30° 36′ 0″ |
35g | 31.5" | 31° 30′ 0″ |
36g | 32.4" | 32° 24′ 0″ |
37g | 33.3" | 33° 18′ 0″ |
38g | 34.2" | 34° 12′ 0″ |
39g | 35.1" | 35° 6′ 0″ |
40g | 36" | 36° 0′ 0″ |
References
- Ambler Thompson and Barry N. Taylor, Guide for the Use of the International System of Units (SI), National Institute of Standards and Technology, https://physics.nist.gov/cuu/pdf/sp811.pdf
- Collins Dictionary, Definition of 'degree', https://www.collinsdictionary.com/us/dictionary/english/degree
More Gradian & Degree Conversions
- gradians to radians
- gradians to milliradians
- gradians to minutes of arc
- gradians to seconds of arc
- gradians to revolutions
- gradians to circles
- gradians to mils
- radians to degrees
- milliradians to degrees
- minutes of arc to degrees
- seconds of arc to degrees
- revolutions to degrees
- circles to degrees
- mils to degrees