Microradian to Degree Converter
Angle · unit-converter
Convert Microradian to Degree 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 Degree
Degrees divide a circle into 360 parts. Common in everyday angles, maps, and many engineering drawings.
How to convert microradians to degrees
1 microradian equals 0.00005729577951308232 degree in this tool (via radian):
1 urad = (0.000001 rad ÷ 0.017453292519943295 rad) deg = 0.00005729577951308232 deg
Each microradian carries 0.000001 rad and each degree 0.017453292519943295 rad, so one urad equals 0.000001 ÷ 0.017453292519943295 deg.
Let θ(urad) be the angle in Microradian (urad), and θ(deg) in Degree (deg). Then:
θ(deg) = θ(urad) × (0.000001 / 0.017453292519943295)
Equivalently, divide by how many urad fit into one deg (rad per deg divided by rad per urad):
θ(deg) = θ(urad) ÷ 17453.292519943298
Examples
Example #1: Convert 1 urad to degree
1 urad = 1 urad × (0.000001/0.017453292519943295) deg = 0.0000572958 deg
1 urad = 1 urad ÷ 17453.292519943298 = 0.0000572958 deg
1 urad × (0.000001/0.017453292519943295) = 0.000057 deg
Example #2: Convert 10 urad to degree
10 urad = 10 urad × (0.000001/0.017453292519943295) deg = 0.0005729578 deg
10 urad = 10 urad ÷ 17453.292519943298 = 0.0005729578 deg
10 urad × (0.000001/0.017453292519943295) = 0.000573 deg
Summary
To convert Microradian to Degree, multiply the value in urad by (0.000001 rad per urad) / (0.017453292519943295 rad per deg). Equivalently: value_deg = value_urad × (0.000001 / 0.017453292519943295). Numerically, 1 urad equals 0.00005729577951308232 deg.
Relationship context
Both Microradian and Degree are converted by fixed multiples of the radian. Multiplying by (rad per urad) ÷ (rad per deg) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Microradian (urad) | Degree (deg) |
|---|---|
| 0.1 | 0.0000057296 |
| 1 | 0.0000572958 |
| 2 | 0.0001145916 |
| 3 | 0.0001718873 |
| 4 | 0.0002291831 |
| 5 | 0.0002864789 |
| 6 | 0.0003437747 |
| 7 | 0.0004010705 |
| 8 | 0.0004583662 |
| 9 | 0.000515662 |
| Microradian (urad) | Degree (deg) |
|---|---|
| 10 | 0.0005729578 |
| 20 | 0.0011459156 |
| 30 | 0.0017188734 |
| 40 | 0.0022918312 |
| 50 | 0.002864789 |
| 60 | 0.0034377468 |
| 70 | 0.0040107046 |
| 80 | 0.0045836624 |
| 90 | 0.0051566202 |
| 100 | 0.005729578 |