Protractors are often used to measure angle

Convert Grad to Degrees

Convert from grad to degrees with this simple formula:
degrees = grad × 0.9
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1 Grad = 0.9 Degrees

Learn How to Convert Grad to Degrees Using our Conversion Formula

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

For example, 5^g = (5 × 0.9) = 4.5°.

Grad and degrees are both units used to measure angle. Learn more about angle and find more angle measurement conversion calculators. A grad is an angle measurement and can be abbreviated as ^g, for example 1^g. A degree is an angle measurement and can be abbreviated as °, for example 1°.

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 100grad.

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

grad and degrees are units used to measure angle
Convert Degrees to Grad

More Angle Conversions

Convert to Radians Angle
1^g is equal to 0.015708 radians
Convert to Revolutions Angle
1^g is equal to 0.0025 revolutions
Convert to Circles Angle
1^g is equal to 0.0025 circles
Convert to Mils Angle
1^g is equal to 16 mils

Grad Measurements and Equivalent Degree Conversions

Common grad values converted to the equivalent degree value
Grad Degrees Grad Degrees Grad Degrees
1 0.9 21 18.9 41 36.9
2 1.8 22 19.8 42 37.8
3 2.7 23 20.7 43 38.7
4 3.6 24 21.6 44 39.6
5 4.5 25 22.5 45 40.5
6 5.4 26 23.4 46 41.4
7 6.3 27 24.3 47 42.3
8 7.2 28 25.2 48 43.2
9 8.1 29 26.1 49 44.1
10 9 30 27 50 45
11 9.9 31 27.9 51 45.9
12 10.8 32 28.8 52 46.8
13 11.7 33 29.7 53 47.7
14 12.6 34 30.6 54 48.6
15 13.5 35 31.5 55 49.5
16 14.4 36 32.4 56 50.4
17 15.3 37 33.3 57 51.3
18 16.2 38 34.2 58 52.2
19 17.1 39 35.1 59 53.1
20 18 40 36 60 54