Convert Gradians to Degrees

Enter your gradian value in the form below to get the value calculated in degrees.

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Results in Degrees:
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1g = 0.9°
1g = 0° 54′ 0″

How to Convert Gradians to Degrees

Protractors are often used to measure angle

Convert gradians to degrees with this simple formula:

degrees = gradians × 0.9

Converting a gradian angle measurement to a degree measurement involves multiplying the angle by the conversion ratio to find the result. One gradian is equal to 0.9 degrees, so to convert simply multiply by 0.9.

For example:
5g = (5 × 0.9) = 4.5°

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

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
GradiansDegrees
0 grad
100 grad90°
200 grad180°
300 grad270°
400 grad360°

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

Gradian Measurements and Equivalent Degree Conversions

Common gradian values converted to the equivalent degree value
Gradians Degrees
1g 0.9°
2g 1.8°
3g 2.7°
4g 3.6°
5g 4.5°
6g 5.4°
7g 6.3°
8g 7.2°
9g 8.1°
10g
11g 9.9°
12g 10.8°
13g 11.7°
14g 12.6°
15g 13.5°
16g 14.4°
17g 15.3°
18g 16.2°
19g 17.1°
20g 18°
21g 18.9°
22g 19.8°
23g 20.7°
24g 21.6°
25g 22.5°
26g 23.4°
27g 24.3°
28g 25.2°
29g 26.1°
30g 27°
31g 27.9°
32g 28.8°
33g 29.7°
34g 30.6°
35g 31.5°
36g 32.4°
37g 33.3°
38g 34.2°
39g 35.1°
40g 36°

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 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)