Convert Degrees to Gradians

Enter your degree value in the form below to get the value calculated in gradians.

Results in Gradians:
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1° = 1.111111g

How to Convert Degrees to Gradians

Protractors are often used to measure angle

Convert degrees to gradians with this simple formula:

gradians = degrees × 1.111111

Converting a degree angle measurement to a gradian measurement involves multiplying the angle by the conversion ratio to find the result. One degree is equal to 1.111111 gradians, so to convert simply multiply by 1.111111.

For example:
5° = (5 × 1.111111) = 5.555556g

Degrees and gradians are both units used to measure angle. Learn more about angle and find more angle measurement conversion calculators. Degrees are an angle measurement and can be abbreviated as °, for example 1°. Gradians are an angle measurement and can be abbreviated as g, for example 1g.

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.

There are 360 degrees in a revolution, or circle. 360 has 24 divisors, and is easily divided by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120 and 180. This makes 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.

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 grad, more specifically a gradian, is equal to 1/400 of a circle or 9/10°. The grad simplifies the measurements of right angles, as 90° is equal to 100 grad.

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

degrees and gradians are units used to measure angle
Convert Gradians to Degrees

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 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)