Microradian to Arc Minute Converter
Angle · unit-converter
Convert Microradian to Arc Minute with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations bridge through radians with fixed definitions (360° per turn, 400 grad per turn, 60′ per degree, 60″ per minute, plus practical units like MOA, urad, and NATO 6400 mils per turn).
About Microradian
A microradian is 1/1,000,000 radian. It is used for very small angular deviations in optics and precision metrology.
About Arc Minute
An arc minute is 1/60 of a degree (π/10,800 rad). Used in astronomy, navigation, and precision optics (MOA).
How to convert microradians to arc minutes
1 microradian equals 0.003437746770784939 arc minute in this tool (via radian):
1 urad = (0.000001 rad ÷ 0.0002908882086657216 rad) arcmin = 0.003437746770784939 arcmin
Each microradian carries 0.000001 rad and each arc minute 0.0002908882086657216 rad, so one urad equals 0.000001 ÷ 0.0002908882086657216 arcmin.
Let θ(urad) be the angle in Microradian (urad), and θ(arcmin) in Arc Minute (arcmin). Then:
θ(arcmin) = θ(urad) × (0.000001 / 0.0002908882086657216)
Equivalently, divide by how many urad fit into one arcmin (rad per arcmin divided by rad per urad):
θ(arcmin) = θ(urad) ÷ 290.8882086657216
Examples
Example #1: Convert 1 urad to arc minute
1 urad = 1 urad × (0.000001/0.0002908882086657216) arcmin = 0.0034377468 arcmin
1 urad = 1 urad ÷ 290.8882086657216 = 0.0034377468 arcmin
1 urad × (0.000001/0.0002908882086657216) = 0.003438 arcmin
Example #2: Convert 10 urad to arc minute
10 urad = 10 urad × (0.000001/0.0002908882086657216) arcmin = 0.0343774677 arcmin
10 urad = 10 urad ÷ 290.8882086657216 = 0.0343774677 arcmin
10 urad × (0.000001/0.0002908882086657216) = 0.034377 arcmin
Summary
To convert Microradian to Arc Minute, multiply the value in urad by (0.000001 rad per urad) / (0.0002908882086657216 rad per arcmin). Equivalently: value_arcmin = value_urad × (0.000001 / 0.0002908882086657216). Numerically, 1 urad equals 0.003437746770784939 arcmin.
Relationship context
Both Microradian and Arc Minute are converted by fixed multiples of the radian. Multiplying by (rad per urad) ÷ (rad per arcmin) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Microradian (urad) | Arc Minute (arcmin) |
|---|---|
| 0.1 | 0.0003437747 |
| 1 | 0.0034377468 |
| 2 | 0.0068754935 |
| 3 | 0.0103132403 |
| 4 | 0.0137509871 |
| 5 | 0.0171887339 |
| 6 | 0.0206264806 |
| 7 | 0.0240642274 |
| 8 | 0.0275019742 |
| 9 | 0.0309397209 |
| Microradian (urad) | Arc Minute (arcmin) |
|---|---|
| 10 | 0.0343774677 |
| 20 | 0.0687549354 |
| 30 | 0.1031324031 |
| 40 | 0.1375098708 |
| 50 | 0.1718873385 |
| 60 | 0.2062648062 |
| 70 | 0.240642274 |
| 80 | 0.2750197417 |
| 90 | 0.3093972094 |
| 100 | 0.3437746771 |