Milliradian to Degree Converter
Angle · unit-converter
Convert Milliradian 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 Milliradian
A milliradian is 1/1000 radian. Used in ballistics, long-range shooting, and engineering for small angles.
About Degree
Degrees divide a circle into 360 parts. Common in everyday angles, maps, and many engineering drawings.
How to convert milliradians to degrees
1 milliradian equals 0.057295779513082325 degree in this tool (via radian):
1 mrad = (0.001 rad ÷ 0.017453292519943295 rad) deg = 0.057295779513082325 deg
Each milliradian carries 0.001 rad and each degree 0.017453292519943295 rad, so one mrad equals 0.001 ÷ 0.017453292519943295 deg.
Let θ(mrad) be the angle in Milliradian (mrad), and θ(deg) in Degree (deg). Then:
θ(deg) = θ(mrad) × (0.001 / 0.017453292519943295)
Equivalently, divide by how many mrad fit into one deg (rad per deg divided by rad per mrad):
θ(deg) = θ(mrad) ÷ 17.453292519943297
Examples
Example #1: Convert 1 mrad to degree
1 mrad = 1 mrad × (0.001/0.017453292519943295) deg = 0.0572957795 deg
1 mrad = 1 mrad ÷ 17.453292519943297 = 0.0572957795 deg
1 mrad × (0.001/0.017453292519943295) = 0.057296 deg
Example #2: Convert 10 mrad to degree
10 mrad = 10 mrad × (0.001/0.017453292519943295) deg = 0.5729577951 deg
10 mrad = 10 mrad ÷ 17.453292519943297 = 0.5729577951 deg
10 mrad × (0.001/0.017453292519943295) = 0.572958 deg
Summary
To convert Milliradian to Degree, multiply the value in mrad by (0.001 rad per mrad) / (0.017453292519943295 rad per deg). Equivalently: value_deg = value_mrad × (0.001 / 0.017453292519943295). Numerically, 1 mrad equals 0.057295779513082325 deg.
Relationship context
Both Milliradian and Degree are converted by fixed multiples of the radian. Multiplying by (rad per mrad) ÷ (rad per deg) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Milliradian (mrad) | Degree (deg) |
|---|---|
| 0.1 | 0.005729578 |
| 1 | 0.0572957795 |
| 2 | 0.114591559 |
| 3 | 0.1718873385 |
| 4 | 0.2291831181 |
| 5 | 0.2864788976 |
| 6 | 0.3437746771 |
| 7 | 0.4010704566 |
| 8 | 0.4583662361 |
| 9 | 0.5156620156 |
| Milliradian (mrad) | Degree (deg) |
|---|---|
| 10 | 0.5729577951 |
| 20 | 1.1459155903 |
| 30 | 1.7188733854 |
| 40 | 2.2918311805 |
| 50 | 2.8647889756 |
| 60 | 3.4377467708 |
| 70 | 4.0107045659 |
| 80 | 4.5836623611 |
| 90 | 5.1566201562 |
| 100 | 5.7295779513 |