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Seconds of Arc to Gradians Converter

Convert seconds of arc (″) 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
0.000308641975309 gon
radians
4.8481368111 × 10⁻⁶ rad
milliradians
0.0048481368111 mrad
degrees
0.000277777777778 °
minutes of arc
0.0166666666667 ′
revolutions (turns)
7.71604938272 × 10⁻⁷ rev
mils (NATO, 6,400 per turn)
0.00493827160494 mil

1 ″ = 0.000308641975309 gon

Show the working
  1. 1 ″ = 0.000308641975309 gon
  2. 1 × 0.000308641975309 = 0.000308641975309 gon

How to convert seconds of arc to gradians

1 gon = 3,240 ″, so divide by 3,240 to go from seconds of arc to gradians (gons) (1 ″ = 0.000308641975309 gon).

gon = ″ ÷ 3,240
″ = gon × 3,240

Worked example:

1 ″ = 0.000308641975309 gon
5 × 0.000308641975309 = 0.00154320987654 gon

Seconds of Arc to gradians table

Seconds of ArcGradians
1 ″0.000308641975309 gon
2 ″0.000617283950617 gon
3 ″0.000925925925926 gon
4 ″0.00123456790123 gon
5 ″0.00154320987654 gon
6 ″0.00185185185185 gon
7 ″0.00216049382716 gon
8 ″0.00246913580247 gon
9 ″0.00277777777778 gon
10 ″0.00308641975309 gon
15 ″0.00462962962963 gon
20 ″0.00617283950617 gon
25 ″0.00771604938272 gon
30 ″0.00925925925926 gon
40 ″0.0123456790123 gon
50 ″0.0154320987654 gon
75 ″0.0231481481481 gon
100 ″0.0308641975309 gon
250 ″0.0771604938272 gon
500 ″0.154320987654 gon
1000 ″0.308641975309 gon

About the units

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).
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