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Gradians to Milliradians Converter

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

1 gon = 15.7079632679 mrad

Show the working
  1. 1 gon = 15.7079632679 mrad
  2. 1 × 15.7079632679 = 15.7079632679 mrad

How to convert gradians to milliradians

1 gon = 15.7079632679 mrad, so multiply by 15.7079632679 to go from gradians (gons) to milliradians. Going the other way, 1 mrad = 0.0636619772368 gon.

mrad = gon × 15.7079632679
gon = mrad × 0.0636619772368

Worked example:

1 gon = 15.7079632679 mrad
5 × 15.7079632679 = 78.5398163397 mrad

Gradians to milliradians table

GradiansMilliradians
1 gon15.7079632679 mrad
2 gon31.4159265359 mrad
3 gon47.1238898038 mrad
4 gon62.8318530718 mrad
5 gon78.5398163397 mrad
6 gon94.2477796077 mrad
7 gon109.955742876 mrad
8 gon125.663706144 mrad
9 gon141.371669412 mrad
10 gon157.079632679 mrad
15 gon235.619449019 mrad
20 gon314.159265359 mrad
25 gon392.699081699 mrad
30 gon471.238898038 mrad
40 gon628.318530718 mrad
50 gon785.398163397 mrad
75 gon1,178.0972451 mrad
100 gon1,570.79632679 mrad
250 gon3,926.99081699 mrad
500 gon7,853.98163397 mrad
1000 gon15,707.9632679 mrad

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.
Milliradians (mrad)
Milliradians, a metric unit. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).

Formula version 0.1.0Reviewed