Convert Microradians to Arcminutes
Convert Microradians (µrad) to Arcminutes (′) instantly and accurately.
Conversion Formula
′ = µrad × 0.003437746771
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 Arcminutes
An arcminute (′) is 1/60 of a degree - π/10,800 rad ≈ 2.909 × 10⁻⁴ rad. One arcminute of latitude equals exactly one nautical mile (1,852 m), which is the origin of the nautical mile unit. The Moon and Sun both subtend ~30 arcminutes in apparent diameter - the coincidence exploited in total solar eclipses. Human 20/20 visual acuity resolves letters 5 arcminutes tall at 6 m. Binocular and telescope apparent fields of view are quoted in arcminutes. 1′ = π/10,800 rad ≈ 0.01667° ≈ 290.9 µrad.
Quick Reference Table
| Microradians (µrad) | Arcminutes (′) |
|---|---|
| 1 µrad | 0.00343775 ′ |
| 2 µrad | 0.00687549 ′ |
| 5 µrad | 0.0171887 ′ |
| 10 µrad | 0.0343775 ′ |
| 25 µrad | 0.0859437 ′ |
| 50 µrad | 0.171887 ′ |
| 100 µrad | 0.343775 ′ |