Convert Microradians to Milliradians
Convert Microradians (µrad) to Milliradians (mrad) instantly and accurately.
Conversion Formula
mrad = µrad × 0.001
About Microradians
A microradian (µrad) is one millionth of a radian (10⁻⁶ rad ≈ 0.206265 arcseconds). It is the standard unit for small angles in precision optics and structural monitoring. A 1 µm wavelength beam from a 1 mm aperture has a diffraction-limited half-angle divergence of ~1 µrad. Atmospheric seeing for ground-based telescopes is typically 2.4-9.7 µrad (0.5-2 arcseconds). Autocollimators resolve angular deviations to 0.05-1 µrad for machine tool alignment. Building tilt monitoring tracks µrad/day. 1 µrad ≈ 0.2063″ = 0.2063 arcseconds.
About Milliradians
A milliradian (mrad) is one thousandth of a radian (10⁻³ rad ≈ 0.05730°). The MIL-dot reticle system in precision rifle scopes uses milliradians for its elegant property: at range R metres, 1 mrad subtends exactly R mm - so at 300 m, 1 mrad = 300 mm; at 1,000 m, 1 mrad = 1,000 mm = 1 m. Semiconductor laser slow-axis divergence is typically 5-15 mrad. Note: 1 mrad ≠ 1 NATO mil (which is π/3,200 rad ≈ 0.9817 mrad). 1 mrad ≈ 0.05730° ≈ 3.438′ ≈ 206.3″.
Quick Reference Table
| Microradians (µrad) | Milliradians (mrad) |
|---|---|
| 1 µrad | 0.001 mrad |
| 2 µrad | 0.002 mrad |
| 5 µrad | 0.005 mrad |
| 10 µrad | 0.01 mrad |
| 25 µrad | 0.025 mrad |
| 50 µrad | 0.05 mrad |
| 100 µrad | 0.1 mrad |