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Minutes of Arc to Gradians Converter

Convert minutes 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
0.0185185185185 gon
radians
0.000290888208666 rad
milliradians
0.290888208666 mrad
degrees
0.0166666666667 °
seconds of arc
60 ″
revolutions (turns)
4.62962962963 × 10⁻⁵ rev
mils (NATO, 6,400 per turn)
0.296296296296 mil

1 ′ = 0.0185185185185 gon

Show the working
  1. 1 ′ = 0.0185185185185 gon
  2. 1 × 0.0185185185185 = 0.0185185185185 gon

How to convert minutes of arc to gradians

1 gon = 54 ′, so divide by 54 to go from minutes of arc to gradians (gons) (1 ′ = 0.0185185185185 gon).

gon = ′ ÷ 54
′ = gon × 54

Worked example:

1 ′ = 0.0185185185185 gon
5 × 0.0185185185185 = 0.0925925925926 gon

Minutes of Arc to gradians table

Minutes of ArcGradians
1 ′0.0185185185185 gon
2 ′0.037037037037 gon
3 ′0.0555555555556 gon
4 ′0.0740740740741 gon
5 ′0.0925925925926 gon
6 ′0.111111111111 gon
7 ′0.12962962963 gon
8 ′0.148148148148 gon
9 ′0.166666666667 gon
10 ′0.185185185185 gon
15 ′0.277777777778 gon
20 ′0.37037037037 gon
25 ′0.462962962963 gon
30 ′0.555555555556 gon
40 ′0.740740740741 gon
50 ′0.925925925926 gon
75 ′1.38888888889 gon
100 ′1.85185185185 gon
250 ′4.62962962963 gon
500 ′9.25925925926 gon
1000 ′18.5185185185 gon

About the units

Minutes of Arc (′)
Minutes 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