Convert Degrees to Gradians

Enter the angle in degrees below to get the value converted to gradians.

Results in Gradians:
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1° = 1.111111g
Do you want to convert gradians to degrees?

How to Convert Degrees to Gradians

conversion scale showing degrees and equivalent gradians angle values

To convert a degree measurement to a gradian measurement, multiply the angle by the conversion ratio. One degree is equal to 1.111111 gradians, so use this simple formula to convert:

gradians = degrees × 1.111111

The angle in gradians is equal to the degrees multiplied by 1.111111.

For example, here's how to convert 5 degrees to gradians using the formula above.
5° = (5 × 1.111111) = 5.555556g

Degrees and gradians are both units used to measure angle. Keep reading to learn more about each unit of measure.


A degree is a measure of angle equal to 1/360th of a revolution, or circle. 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 minutes and seconds as an alternative to using the decimal form. Minutes and seconds are expressed using the prime (′) and double-prime (″) characters, although a single-quote and double-quote are often used for convenience.

One minute is equal to 1/60th of a degree and one second is equal to 1/60th of a minute.

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.


A gradian is equal to 1/400 of a revolution or circle, or 9/10°. This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

Right angles in gradians
0 grad
100 grad90°
200 grad180°
300 grad270°
400 grad360°

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.

Degree Measurements and Equivalent Gradian Conversions

Common degree values converted to the equivalent gradian value
Degrees Gradians
10° 11.11g
11° 12.22g
12° 13.33g
13° 14.44g
14° 15.56g
15° 16.67g
16° 17.78g
17° 18.89g
18° 20g
19° 21.11g
20° 22.22g
21° 23.33g
22° 24.44g
23° 25.56g
24° 26.67g
25° 27.78g
26° 28.89g
27° 30g
28° 31.11g
29° 32.22g
30° 33.33g
31° 34.44g
32° 35.56g
33° 36.67g
34° 37.78g
35° 38.89g
36° 40g
37° 41.11g
38° 42.22g
39° 43.33g
40° 44.44g

More Degree Angle Conversions

Convert to Radians
1° is equal to 0.017453 radians
Convert to Milliradians
1° is equal to 17.453293 milliradians
Convert to Minutes Of Arc
1° is equal to 60 minutes of arc
Convert to Seconds Of Arc
1° is equal to 3,600 seconds of arc
Convert to Revolutions
1° is equal to 0.002778 revolutions
Convert to Circles
1° is equal to 0.002778 circles
Convert to Mils (NATO)
1° is equal to 17.777778 mils (NATO)