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Gradians to Seconds of Arc Converter

Convert gradians (gons) (gon) to seconds of arc (″), 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
3,240 ″
radians
0.0157079632679 rad
milliradians
15.7079632679 mrad
degrees
0.9 °
minutes of arc
54 ′
revolutions (turns)
0.0025 rev
mils (NATO, 6,400 per turn)
16 mil

1 gon = 3,240 ″

Show the working
  1. 1 gon = 3240 ″
  2. 1 × 3240 = 3240 ″

How to convert gradians to seconds of arc

1 gon = 3,240 ″, so multiply by 3,240 to go from gradians (gons) to seconds of arc. Going the other way, 1 ″ = 0.000308641975309 gon.

″ = gon × 3,240
gon = ″ × 0.000308641975309

Worked example:

1 gon = 3240 ″
5 × 3240 = 16200 ″

Gradians to seconds of arc table

GradiansSeconds of Arc
1 gon3,240 ″
2 gon6,480 ″
3 gon9,720 ″
4 gon12,960 ″
5 gon16,200 ″
6 gon19,440 ″
7 gon22,680 ″
8 gon25,920 ″
9 gon29,160 ″
10 gon32,400 ″
15 gon48,600 ″
20 gon64,800 ″
25 gon81,000 ″
30 gon97,200 ″
40 gon129,600 ″
50 gon162,000 ″
75 gon243,000 ″
100 gon324,000 ″
250 gon810,000 ″
500 gon1,620,000 ″
1000 gon3,240,000 ″

About the units

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.
Seconds of Arc (″)
Seconds of arc, 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).

Formula version 0.1.0Reviewed