Milliradians to Arcminutes Converter
Enter a value to instantly convert between angle units.
1 Milliradian = 3.4377 Arcminute
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
arcminutes = mrad × 3.437747Military optics are calibrated in milliradians while many telescopes, theodolites, and legacy navigation instruments specify resolution and angular measurement in arcminutes. An artillery spotter integrating a mil-dot rangefinder with a survey-grade theodolite reads mrad from the scope and must express the same angle in arcminutes for the surveying instrument's interface. The factor 3.4377 comes from 1 mrad = 0.001 rad × (180/π) × 60 arcminutes/degree.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
1 mrad — 3.438 arcminutes, slightly more than 3 arcminutes. Used when translating a single-click scope adjustment into arcminute terms for a theodolite operator.
1 mrad = 3.438 ′
0.291 mrad — exactly 1 arcminute. The key reference for converting arcminute-resolution instruments to mrad-calibrated fire control.
0.291 mrad = 1 ′
10 mrad — 34.38 arcminutes, just over half a degree. The angular size of the moon (≈30 arcminutes) is slightly less than 10 mrad.
10 mrad = 34.377 ′
5 mrad — 17.19 arcminutes, an artillery correction angle verified against arcminute-scaled survey records before a fire mission.
5 mrad = 17.189 ′