Arcseconds to Gradians Converter
Enter a value to instantly convert between angle units.
1 Arcsecond = 0.0003 Gradian
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
gradians = arcseconds ÷ 3240High-precision geodetic surveys and astronomical coordinate systems express angles in arcseconds while European surveying software expects gradians. When a geodetic adjustment computation receives arcsecond-precision reference coordinates from a GPS receiver or star observation and must translate them into the gradian-based coordinate frame of a local survey, this conversion is the entry step. The factor 3,240 comes from 1 grad = 3,240 arcseconds (= 0.9° × 3,600).
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
3,240 arcseconds — exactly 1 gradian (= 54 arcminutes = 0.9°). The anchor conversion for arcsecond-to-gradian work.
3240 ″ = 1 grad
324,000 arcseconds (90°) — exactly 100 grad, confirming the right angle expressed in arcsecond-precision data converts cleanly to the gradian system.
324000 ″ = 100 grad
100 arcseconds of angular difference — 0.031 grad, the magnitude expressed in gradian format for a European survey correction.
100 ″ = 0.03086 grad
810 arcseconds (13.5 arcminutes = 0.225°) — 0.25 grad, a quarter-gradian boundary value in a gradian-system land parcel.
810 ″ = 0.25 grad