Convert Gradians to Degrees
Enter the angle in gradians below to get the value converted to degrees.
1^{g} = 0° 54′ 0″
How to Convert Gradians to Degrees
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:
The angle in degrees is equal to the gradians multiplied by 0.9.
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.
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 1^{g}, 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
Gradians | Degrees (decimal) | Degrees (minutes & seconds) |
---|---|---|
1^{g} | 0.9" | 0° 54′ 0″ |
2^{g} | 1.8" | 1° 48′ 0″ |
3^{g} | 2.7" | 2° 42′ 0″ |
4^{g} | 3.6" | 3° 36′ 0″ |
5^{g} | 4.5" | 4° 30′ 0″ |
6^{g} | 5.4" | 5° 24′ 0″ |
7^{g} | 6.3" | 6° 18′ 0″ |
8^{g} | 7.2" | 7° 12′ 0″ |
9^{g} | 8.1" | 8° 6′ 0″ |
10^{g} | 9" | 9° 0′ 0″ |
11^{g} | 9.9" | 9° 54′ 0″ |
12^{g} | 10.8" | 10° 48′ 0″ |
13^{g} | 11.7" | 11° 42′ 0″ |
14^{g} | 12.6" | 12° 36′ 0″ |
15^{g} | 13.5" | 13° 30′ 0″ |
16^{g} | 14.4" | 14° 24′ 0″ |
17^{g} | 15.3" | 15° 18′ 0″ |
18^{g} | 16.2" | 16° 12′ 0″ |
19^{g} | 17.1" | 17° 6′ 0″ |
20^{g} | 18" | 18° 0′ 0″ |
21^{g} | 18.9" | 18° 54′ 0″ |
22^{g} | 19.8" | 19° 48′ 0″ |
23^{g} | 20.7" | 20° 42′ 0″ |
24^{g} | 21.6" | 21° 36′ 0″ |
25^{g} | 22.5" | 22° 30′ 0″ |
26^{g} | 23.4" | 23° 24′ 0″ |
27^{g} | 24.3" | 24° 18′ 0″ |
28^{g} | 25.2" | 25° 12′ 0″ |
29^{g} | 26.1" | 26° 6′ 0″ |
30^{g} | 27" | 27° 0′ 0″ |
31^{g} | 27.9" | 27° 54′ 0″ |
32^{g} | 28.8" | 28° 48′ 0″ |
33^{g} | 29.7" | 29° 42′ 0″ |
34^{g} | 30.6" | 30° 36′ 0″ |
35^{g} | 31.5" | 31° 30′ 0″ |
36^{g} | 32.4" | 32° 24′ 0″ |
37^{g} | 33.3" | 33° 18′ 0″ |
38^{g} | 34.2" | 34° 12′ 0″ |
39^{g} | 35.1" | 35° 6′ 0″ |
40^{g} | 36" | 36° 0′ 0″ |
More Gradian Angle Conversions
- Convert to Radians
- 1^{g} is equal to 0.015708 radians
- Convert to Milliradians
- 1^{g} is equal to 15.707963 milliradians
- Convert to Minutes Of Arc
- 1^{g} is equal to 54 minutes of arc
- Convert to Seconds Of Arc
- 1^{g} is equal to 3,240 seconds of arc
- Convert to Revolutions
- 1^{g} is equal to 0.0025 revolutions
- Convert to Circles
- 1^{g} is equal to 0.0025 circles
- Convert to Mils (NATO)
- 1^{g} is equal to 16 mils (NATO)