Protractors are often used to measure angle

Convert Degrees to Grad

Convert from degrees to grad with this simple formula:
grad = degrees × 1.111111
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1 Degree = 1.111111 Grad

Learn How to Convert Degrees to Grad Using our Conversion Formula

Converting a degree angle measurement to a grad measurement involves multiplying your angle by the conversion ratio to find the result. A degree is equal to 1.111111 grad, so to convert simply multiply by 1.111111.

For example, 5° = (5 × 1.111111) = 5.555556^g.

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

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°

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

More Angle Conversions

Convert to Radians Angle
1° is equal to 0.017453 radians
Convert to Revolutions Angle
1° is equal to 0.002778 revolutions
Convert to Circles Angle
1° is equal to 0.002778 circles
Convert to Mils Angle
1° is equal to 17.777778 mils

Degree Measurements and Equivalent Grad Conversions

Common degree values converted to the equivalent grad value
Degrees Grad Degrees Grad Degrees Grad
1 1.1111 21 23.33 41 45.56
2 2.2222 22 24.44 42 46.67
3 3.3333 23 25.56 43 47.78
4 4.4444 24 26.67 44 48.89
5 5.5556 25 27.78 45 50
6 6.6667 26 28.89 46 51.11
7 7.7778 27 30 47 52.22
8 8.8889 28 31.11 48 53.33
9 10 29 32.22 49 54.44
10 11.11 30 33.33 50 55.56
11 12.22 31 34.44 51 56.67
12 13.33 32 35.56 52 57.78
13 14.44 33 36.67 53 58.89
14 15.56 34 37.78 54 60
15 16.67 35 38.89 55 61.11
16 17.78 36 40 56 62.22
17 18.89 37 41.11 57 63.33
18 20 38 42.22 58 64.44
19 21.11 39 43.33 59 65.56
20 22.22 40 44.44 60 66.67