Gradians to Octants (gon → oct)

0.020000

1.0000 gon = 0.020000 oct

Formula

1 gon = 0.02 oct
OctantsGradians (Swap Units)

Conversion Table

gonoct
00
1.00000.020000
2.00000.040000
3.00000.060000
4.00000.080000
5.00000.10000
6.00000.12000
7.00000.14000
8.00000.16000
9.00000.18000
10.0000.20000
11.0000.22000
12.0000.24000
13.0000.26000
14.0000.28000
15.0000.30000
16.0000.32000
17.0000.34000
18.0000.36000
19.0000.38000
gonoct
20.0000.40000
21.0000.42000
22.0000.44000
23.0000.46000
24.0000.48000
25.0000.50000
26.0000.52000
27.0000.54000
28.0000.56000
29.0000.58000
30.0000.60000
31.0000.62000
32.0000.64000
33.0000.66000
34.0000.68000
35.0000.70000
36.0000.72000
37.0000.74000
38.0000.76000
39.0000.78000
gonoct
40.0000.80000
41.0000.82000
42.0000.84000
43.0000.86000
44.0000.88000
45.0000.90000
46.0000.92000
47.0000.94000
48.0000.96000
49.0000.98000
50.0001.0000
51.0001.0200
52.0001.0400
53.0001.0600
54.0001.0800
55.0001.1000
56.0001.1200
57.0001.1400
58.0001.1600
59.0001.1800
gonoct
60.0001.2000
61.0001.2200
62.0001.2400
63.0001.2600
64.0001.2800
65.0001.3000
66.0001.3200
67.0001.3400
68.0001.3600
69.0001.3800
70.0001.4000
71.0001.4200
72.0001.4400
73.0001.4600
74.0001.4800
75.0001.5000
76.0001.5200
77.0001.5400
78.0001.5600
79.0001.5800

Gradians to Octants Conversion

Converting Gradians (gon) to Octants (oct) is a common angle conversion. 1 gon equals 0.02 oct. For example, 100 gon is equal to 2 oct.

Quick Mental Math: Gradians to Octants

50 gradians is 1 octant, so scale from that anchor.

Why is converting Gradians to Octants tricky?

gradians and octants split one full turn into different counts, so people often flip the ratio and divide when they should multiply.

Quick Reference Values

1 gon = 0.02 oct. 5 gon = 0.1 oct. 10 gon = 0.2 oct. 25 gon = 0.5 oct. 50 gon = 1 oct. 100 gon = 2 oct.

What is Gradians?

Gradians (gon) is a unit of angle. A gradian, also called a gon, is an angular unit where one full circle equals 400 gradians. Each gradian equals 0.9 degrees or π/200 radians. This unit facilitates decimal subdivision of right angles and is defined by international standards for angular measurement [bipm-si-brochure]. Gradians were introduced in the late 18th century during the French Revolution to simplify angle calculations using a decimal system. The unit was later adopted by the ISO and BIPM as part of supplementary units to the SI [bipm-si-brochure]. Gradians are used in surveying, geodesy, and cartography, particularly in Europe, including France and Germany. They provide a convenient decimal-based alternative to degrees for precise angular measurements [nist-si-guide].

What is Octants?

Octants (oct) is a unit of angle. An octant is a unit of angular measurement equal to 45 degrees or one-eighth of a full circle (360 degrees). It is used in historical and navigational contexts to describe angular divisions. One octant corresponds to π/4 radians according to angular standards [iso-80000]. The octant dates to early navigation instruments developed in the 18th century, notably the reflecting octant invented by John Hadley in 1731. It was adopted to improve celestial navigation accuracy before the sextant became widespread [iso-80000]. While largely replaced by degrees and radians, octants remain referenced in historical navigation and maritime heritage. Some naval training and museums preserve knowledge of octants as part of seafaring traditions [nist-sp-811].

Common Misspellings

People often search for this conversion using these alternate spellings: gradian, graden, gradian, octent, octent angle, octons, octancts. All of these refer to the Gradians to Octants conversion.

Common Conversions