Degree to Milliradian Converter
Angle · unit-converter
Convert Degree to Milliradian 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 Degree
Degrees divide a circle into 360 parts. Common in everyday angles, maps, and many engineering drawings.
About Milliradian
A milliradian is 1/1000 radian. Used in ballistics, long-range shooting, and engineering for small angles.
How to convert degrees to milliradians
1 degree equals 17.453292519943297 milliradian in this tool (via radian):
1 deg = (0.017453292519943295 rad ÷ 0.001 rad) mrad = 17.453292519943297 mrad
Each degree carries 0.017453292519943295 rad and each milliradian 0.001 rad, so one deg equals 0.017453292519943295 ÷ 0.001 mrad.
Let θ(deg) be the angle in Degree (deg), and θ(mrad) in Milliradian (mrad). Then:
θ(mrad) = θ(deg) × (0.017453292519943295 / 0.001)
Equivalently, divide by how many deg fit into one mrad (rad per mrad divided by rad per deg):
θ(mrad) = θ(deg) ÷ 0.057295779513082325
Examples
Example #1: Convert 1 deg to milliradian
1 deg = 1 deg × (0.017453292519943295/0.001) mrad = 17.4532925199 mrad
1 deg = 1 deg ÷ 0.057295779513082325 = 17.4532925199 mrad
1 deg × (0.017453292519943295/0.001) = 17.453293 mrad
Example #2: Convert 10 deg to milliradian
10 deg = 10 deg × (0.017453292519943295/0.001) mrad = 174.532925199 mrad
10 deg = 10 deg ÷ 0.057295779513082325 = 174.532925199 mrad
10 deg × (0.017453292519943295/0.001) = 174.532925 mrad
Summary
To convert Degree to Milliradian, multiply the value in deg by (0.017453292519943295 rad per deg) / (0.001 rad per mrad). Equivalently: value_mrad = value_deg × (0.017453292519943295 / 0.001). Numerically, 1 deg equals 17.453292519943297 mrad.
Relationship context
Both Degree and Milliradian are converted by fixed multiples of the radian. Multiplying by (rad per deg) ÷ (rad per mrad) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Degree (deg) | Milliradian (mrad) |
|---|---|
| 0.1 | 1.745329252 |
| 1 | 17.4532925199 |
| 2 | 34.9065850399 |
| 3 | 52.3598775598 |
| 4 | 69.8131700798 |
| 5 | 87.2664625997 |
| 6 | 104.71975512 |
| 7 | 122.17304764 |
| 8 | 139.62634016 |
| 9 | 157.079632679 |
| Degree (deg) | Milliradian (mrad) |
|---|---|
| 10 | 174.532925199 |
| 20 | 349.065850399 |
| 30 | 523.598775598 |
| 40 | 698.131700798 |
| 50 | 872.664625997 |
| 60 | 1,047.1975512 |
| 70 | 1,221.7304764 |
| 80 | 1,396.2634016 |
| 90 | 1,570.79632679 |
| 100 | 1,745.32925199 |