Angle / ′ → gon
Convert Arcminutes to Gradians
Convert plane angles in radians, degrees, turns, and survey grads. Convert Arcminutes (′) to Gradians (gon). Find the formula, worked examples, unit definitions, and practical guidance below.
Reverse: Gradians to Arcminutes →
How to convert arcminutes to gradians
A full turn is 2π radians, 360 degrees, or 400 gradians. Decimal degrees are not degrees-minutes-seconds notation. Angular minutes and seconds are not time units.
Use x for the value in ′, b for the intermediate value in rad, and y for the result in gon.
gon = ′ × 0.0002908882086657216 ÷ 0.015707963267948967
Worked examples
10 ′ ≈ 0.185185185185 gon
Step 1: (10 × 0.000290888208666) ≈ 0.00290888208666 rad.
Step 2: 0.00290888208666 ÷ 0.0157079632679 ≈ 0.185185185185 gon.20 ′ ≈ 0.37037037037 gon
Step 1: (20 × 0.000290888208666) ≈ 0.00581776417331 rad.
Step 2: 0.00581776417331 ÷ 0.0157079632679 ≈ 0.37037037037 gon.
Results are rounded to 12 significant digits. Converting units does not increase the precision of the original measurement. Very large or small values outside JavaScript’s finite numeric range are rejected.
About Arcminutes
Arcminutes (′) measures angle under the conventions above. The base value in rad is (x × 0.000290888208666), where x is the numerical value in ′. Factors shown here are rounded for display; calculations use the stored factor.
About Gradians
Gradians (gon) measures angle under the conventions above. The base value in rad is (x × 0.0157079632679), where x is the numerical value in gon. Factors shown here are rounded for display; calculations use the stored factor.
Definitions and sources
Carry the same physical assumptions into subsequent physics calculations.
Arcminutes to gradians reference table
| Arcminutes (′) | Gradians (gon) |
|---|---|
| 1 | 0.0185185185185 |
| 5 | 0.0925925925926 |
| 10 | 0.185185185185 |
| 25 | 0.462962962963 |
| 50 | 0.925925925926 |
| 100 | 1.85185185185 |
| 1000 | 18.5185185185 |
Browse every angle conversion →