Convert Degrees to Grad

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

Results in Grad:

1 ° = 1.111111 ^g

How to Convert Degrees to Grad Using an Easy Conversion Formula

Protractors are often used to measure angle

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Convert degrees to grad with this simple formula:

grad = degrees × 1.111111

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
Gradians	Degrees
0 grad	0°
100 grad	90°
200 grad	180°
300 grad	270°
400 grad	360°

degrees and grad are units used to measure angle

Convert Grad to Degrees

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