Arcseconds to Milliradians Converter
Enter a value to instantly convert between angle units.
1 Arcsecond = 0.0048 Milliradian
Key Formulas
Degree → Radian
rad = ° × 0.0174533Radian → Degree
° = rad × 57.2958Degree → Gradian
grad = ° × 1.11111Gradian → Degree
° = grad × 0.9Formula
mrad = arcseconds × 0.0048481368High-precision optical instruments — laser rangefinders, stabilized gimbals, tracking telescopes — are specified in arcseconds. Military fire-control and targeting systems use milliradians. When integrating a precision optical sensor (specified to 0.5 arcsecond accuracy) with a ballistics computer (working in mrad), converting the sensor's arcsecond specifications to milliradians confirms whether the optical resolution is finer than the targeting system's step size. 1 mrad ≈ 206.265 arcseconds.
Source: ISO 80000-3:2019 (Quantities and units — Space and time)
Last reviewed: · see our methodology
Frequently Asked Questions
Real-World Examples
206.265 arcseconds — exactly 1 mrad. The key ratio used when checking whether an optical instrument's arcsecond resolution exceeds a targeting system's mrad step.
206.265 ″ = 1 mrad
A 0.5 arcsecond telescope resolution — 0.0024 mrad, confirming the optic resolves detail 240× finer than a 0.1 mrad targeting reticle increment.
0.5 ″ = 0.002424 mrad
1,000 arcseconds of angular separation between two targets — 4.848 mrad, the mrad value entered into a fire-control calculation.
1000 ″ = 4.848 mrad
A 20 arcsecond angular correction on a precision gimbal — 0.097 mrad, checked against the gimbal's 0.1 mrad minimum step to confirm the correction is detectable.
20 ″ = 0.097 mrad