Arcminutes to Milliradians Converter
Enter a value to instantly convert between angle units.
1 Arcminute = 0.2909 Milliradian
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
mrad = arcminutes × 0.29088820Rifle scope manufacturers historically rated adjustment increments in arcminutes (MOA, or minute of angle), while modern precision shooters and military systems use milliradians. Switching between MOA-calibrated scopes and mrad-calibrated ones — or comparing ballistic tables published in different units — requires this conversion. An armorer mounting a new mrad scope on a rifle with a MOA-based zero record must recalculate every correction in milliradians.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
3.438 arcminutes — exactly 1 mrad. The key ratio: 1 MOA ≈ 1.047 mrad (not the same — a 4.7% difference that matters at precision shooting distances).
3.438 ′ = 1 mrad
One arcminute (1 MOA) — 0.2909 mrad. A scope with 0.25 MOA/click has 0.073 mrad/click, while a mrad scope's 0.1 mrad/click is 0.344 MOA/click.
1 ′ = 0.2909 mrad
60 arcminutes (1°) — 17.453 mrad. Confirming the per-degree value: 1° = 17.45 mrad.
60 ′ = 17.453 mrad
A 10 arcminute correction on a rifle zero — 2.909 mrad, the equivalent elevation adjustment entered into a mrad turret.
10 ′ = 2.909 mrad