Arcminutes to Gradians Converter
Enter a value to instantly convert between angle units.
1 Arcminute = 0.0185 Gradian
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
gradians = arcminutes ÷ 54Legacy navigation records and older surveying archives store bearings in degrees and arcminutes. European surveying software and many digital total stations in gradian regions require angular input in gradians. Post-processing a historic DMS-format traverse for use in a gradian-mode adjustment program requires converting every arcminute component. The factor 54 (= 60 arcminutes × 0.9°/grad) is the direct bridge.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
54 arcminutes — exactly 1 gradian (= 0.9°). The anchor ratio for arcminute-to-gradian work.
54 ′ = 1 grad
5,400 arcminutes (= 90°) — exactly 100 grad, confirming the right angle in gradian notation.
5400 ′ = 100 grad
108 arcminutes (= 1°48′ = 1.8°) — 2 grad, entered into a gradian-mode theodolite's correction field.
108 ′ = 2 grad
27 arcminutes (= 0.45°) — 0.5 grad, a fine angular adjustment expressed in gradian mode on a precision instrument.
27 ′ = 0.5 grad