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Degrees to Gradians Converter

Convert degrees (°) to gradians (gons) (gon), with the formula, a conversion table and exact factors.

Change the values and press Calculate to work out your own figures.

Enter an angle, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.

About valueA number, fraction (3/8), mixed number (1 1/2), scientific notation (2.5e6) or a simple sum such as 2*3.
About toThe unit you want the answer in. Swap exchanges the two units.
Result
Result
1.11111111111 gon
radians
0.0174532925199 rad
milliradians
17.4532925199 mrad
minutes of arc
60 ′
seconds of arc
3,600 ″
revolutions (turns)
0.00277777777778 rev
mils (NATO, 6,400 per turn)
17.7777777778 mil

1 ° = 1.11111111111 gon

Show the working
  1. 1 ° = 1.11111111111 gon
  2. 1 × 1.11111111111 = 1.11111111111 gon

How to convert degrees to gradians

1 ° = 1.11111111111 gon, so multiply by 1.11111111111 to go from degrees to gradians (gons). Going the other way, 1 gon = 0.9 °.

gon = ° × 1.11111111111
° = gon × 0.9

Worked example:

1 ° = 1.11111111111 gon
5 × 1.11111111111 = 5.55555555556 gon

Degrees to gradians table

DegreesGradians
1 °1.11111111111 gon
2 °2.22222222222 gon
3 °3.33333333333 gon
4 °4.44444444444 gon
5 °5.55555555556 gon
6 °6.66666666667 gon
7 °7.77777777778 gon
8 °8.88888888889 gon
9 °10 gon
10 °11.1111111111 gon
15 °16.6666666667 gon
20 °22.2222222222 gon
25 °27.7777777778 gon
30 °33.3333333333 gon
40 °44.4444444444 gon
50 °55.5555555556 gon
75 °83.3333333333 gon
100 °111.111111111 gon
250 °277.777777778 gon
500 °555.555555556 gon
1000 °1,111.11111111 gon

About the units

Degrees (°)
Degrees, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).
Gradians (gon)
Gradians (gons), a specialised unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: NIST SP 811 Appendix B.8, factors for units listed alphabetically.

Formula version 0.1.0Reviewed