One arcminute is 1/60 degree.
Arcminutes to Gradians Converter — arcmin to gon
Convert Arcminute (arcmin) to Gradian (gon) using the exact conversion factor (1 arcminute = 0.0185185185 gradian). See the formula, worked examples, and conversion table.
Arcminutes to Gradians converter
Converter
Angle Converter
Convert radians, degrees, gradians, turns, arcminutes, arcseconds, and milliradians.
Context values
Some unit families need one extra value for a physically accurate result.
A gradian is 1/400 of a turn.
Result = input x 0.0002908882087 / 0.01570796327.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Arcminutes to Gradians
Arcminute and Gradian are the two standard ways to measure angles — degrees for everyday and navigational use, radians for calculus and physics — so converting between them comes up constantly in math, engineering, and programming. Specifically: One arcminute is 1/60 degree, and a gradian is 1/400 of a turn.
Formula
gradians = arcminutes × 0.0185185185185
This factor comes from each unit's defined relationship to the category's base unit: 1 arcminute equals 0.000290888208666 base units, and 1 gradian equals 0.0157079632679 base units, so dividing one by the other gives the direct arcminute-to-gradian factor of 0.0185185185185.
Simple example
1 arcmin × 0.01851851852 = 0.0185185185 gon
1 arcminute = 0.0185185185 gradians.
Real-world example
90 arcmin × 0.01851851852 = 1.666666667 gon
90 arcminutes = 1.666666667 gradians.
Conversion table
| Arcminute (arcmin) | Gradian (gon) |
|---|---|
| 0 arcmin | 0 gon |
| 30 arcmin | 0.5555555556 gon |
| 45 arcmin | 0.8333333333 gon |
| 90 arcmin | 1.666666667 gon |
| 180 arcmin | 3.333333333 gon |
| 360 arcmin | 6.666666667 gon |
Reverse conversion: Gradian to Arcminute
0.0185185185 gon × 54 = 0.999999999 arcmin
0.0185185185 gradians = 0.999999999 arcminutes.
arcminutes = gradians × 54
For a page dedicated to this direction, see Gradian to Arcminute.
Understanding the Arcminute (arcmin)
One arcminute is 1/60 degree.
Understanding the Gradian (gon)
A gradian is 1/400 of a turn.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many gradians are in 1 arcminute?
1 arcminute equals 0.0185185185 gradians, using the exact defined conversion factor rather than an estimate.
How do I convert arcminute to gradian?
Multiply the arcminute value by 0.01851851852. The converter above does this instantly to whatever precision you set.
How do I convert gradian back to arcminute?
Use the reverse factor: 1 gradian equals 54 arcminutes. You can also use the swap control in the converter above to flip the direction instantly.
What is a arcminute?
Arcminute (arcmin) is a unit of angle.
What is a gradian?
Gradian (gon) is a unit of angle.
Is the arcminute to gradian conversion exact?
Yes. Both arcminute and gradian are defined by fixed standards rather than physical artifacts, so the factor of 0.01851851852 used above is exact to as many digits as you choose to display.