A gradian is 1/400 of a turn.
Gradians to Arcminutes Converter — gon to arcmin
Convert Gradian (gon) to Arcminute (arcmin) using the exact conversion factor (1 gradian = 54 arcminute). See the formula, worked examples, and conversion table.
Gradians to Arcminutes 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.
One arcminute is 1/60 degree.
Result = input x 0.01570796327 / 0.0002908882087.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Gradians to Arcminutes
Gradian and Arcminute 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: A gradian is 1/400 of a turn, and one arcminute is 1/60 degree.
Formula
arcminutes = gradians × 54
This factor comes from each unit's defined relationship to the category's base unit: 1 gradian equals 0.0157079632679 base units, and 1 arcminute equals 0.000290888208666 base units, so dividing one by the other gives the direct gradian-to-arcminute factor of 54.
Simple example
1 gon × 54 = 54 arcmin
1 gradian = 54 arcminutes.
Real-world example
90 gon × 54 = 4,860 arcmin
90 gradians = 4,860 arcminutes.
Conversion table
| Gradian (gon) | Arcminute (arcmin) |
|---|---|
| 0 gon | 0 arcmin |
| 30 gon | 1,620 arcmin |
| 45 gon | 2,430 arcmin |
| 90 gon | 4,860 arcmin |
| 180 gon | 9,720 arcmin |
| 360 gon | 19,440 arcmin |
Reverse conversion: Arcminute to Gradian
54 arcmin × 0.01851851852 = 1 gon
54 arcminutes = 1 gradian.
gradians = arcminutes × 0.0185185185185
For a page dedicated to this direction, see Arcminute to Gradian.
Understanding the Gradian (gon)
A gradian is 1/400 of a turn.
Understanding the Arcminute (arcmin)
One arcminute is 1/60 degree.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many arcminutes are in 1 gradian?
1 gradian equals 54 arcminutes, using the exact defined conversion factor rather than an estimate.
How do I convert gradian to arcminute?
Multiply the gradian value by 54. The converter above does this instantly to whatever precision you set.
How do I convert arcminute back to gradian?
Use the reverse factor: 1 arcminute equals 0.0185185185 gradians. You can also use the swap control in the converter above to flip the direction instantly.
What is a gradian?
Gradian (gon) is a unit of angle.
What is a arcminute?
Arcminute (arcmin) is a unit of angle.
Is the gradian to arcminute conversion exact?
Yes. Both gradian and arcminute are defined by fixed standards rather than physical artifacts, so the factor of 54 used above is exact to as many digits as you choose to display.