Convert Gradians to Degrees

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

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Results in Degrees:
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1g = 0.9°
1g = 0° 54′ 0″
Do you want to convert degrees to gradians?

How to Convert Gradians to Degrees

conversion scale showing gradians and equivalent degrees angle values

To convert a gradian measurement to a degree measurement, multiply the angle by the conversion ratio. One gradian is equal to 0.9 degrees, so use this simple formula to convert:

degrees = gradians × 0.9

The angle in degrees is equal to the gradians multiplied by 0.9.

For example, here's how to convert 5 gradians to degrees using the formula above.
5g = (5 × 0.9) = 4.5°

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

Gradians

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
GradiansDegrees
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.

Degrees

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.

Gradian Measurements and Equivalent Degree Conversions

Common gradian values converted to the equivalent degree decimal and minutes and seconds values
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″

More Gradian Angle Conversions

Convert to Radians
1g is equal to 0.015708 radians
Convert to Milliradians
1g is equal to 15.707963 milliradians
Convert to Minutes Of Arc
1g is equal to 54 minutes of arc
Convert to Seconds Of Arc
1g is equal to 3,240 seconds of arc
Convert to Revolutions
1g is equal to 0.0025 revolutions
Convert to Circles
1g is equal to 0.0025 circles
Convert to Mils (NATO)
1g is equal to 16 mils (NATO)