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Radians to Gradians Converter

Convert radians (rad) 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
63.6619772368 gon
milliradians
1,000 mrad
degrees
57.2957795131 °
minutes of arc
3,437.74677078 ′
seconds of arc
206,264.806247 ″
revolutions (turns)
0.159154943092 rev
mils (NATO, 6,400 per turn)
1,018.59163579 mil

1 rad = 63.6619772368 gon

Show the working
  1. 1 rad = 63.6619772368 gon
  2. 1 × 63.6619772368 = 63.6619772368 gon

How to convert radians to gradians

1 rad = 63.6619772368 gon, so multiply by 63.6619772368 to go from radians to gradians (gons). Going the other way, 1 gon = 0.0157079632679 rad.

gon = rad × 63.6619772368
rad = gon × 0.0157079632679

Worked example:

1 rad = 63.6619772368 gon
5 × 63.6619772368 = 318.309886184 gon

Radians to gradians table

RadiansGradians
1 rad63.6619772368 gon
2 rad127.323954474 gon
3 rad190.98593171 gon
4 rad254.647908947 gon
5 rad318.309886184 gon
6 rad381.971863421 gon
7 rad445.633840657 gon
8 rad509.295817894 gon
9 rad572.957795131 gon
10 rad636.619772368 gon
15 rad954.929658551 gon
20 rad1,273.23954474 gon
25 rad1,591.54943092 gon
30 rad1,909.8593171 gon
40 rad2,546.47908947 gon
50 rad3,183.09886184 gon
75 rad4,774.64829276 gon
100 rad6,366.19772368 gon
250 rad15,915.4943092 gon
500 rad31,830.9886184 gon
1000 rad63,661.9772368 gon

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.

Formula version 0.1.0Reviewed