Milliradians to arcminutes
Type a value in milliradians to see it in arcminutes straight away, or type in the second box to convert back.
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Processing and privacy: The result is calculated inside your browser and your data is not sent to any server.
How to use it
- Type the value in the milliradians box.
- Read the result in arcminutes as you type, and pick the precision you need.
- Swap the direction to convert back, or copy the result.
How it is calculated
' = mrad × 3.437746771
Multiply the value in milliradians by 3.437746771 to get arcminutes.
Example
To convert 25 mrad to arcminutes: 25 × 3.437746771 = 85.9437 '.
Conversion table
| Milliradians (mrad) | Arcminutes (') |
|---|---|
| 1 | 3.43775 |
| 2 | 6.87549 |
| 3 | 10.3132 |
| 5 | 17.1887 |
| 10 | 34.3775 |
| 20 | 68.7549 |
| 25 | 85.9437 |
| 50 | 171.887 |
| 100 | 343.775 |
| 250 | 859.437 |
| 500 | 1,718.87 |
| 1,000 | 3,437.75 |
About the units
- Milliradian
- A milliradian is one thousandth of a radian, about 0.0573 degree, used on rifle scopes where it is called MIL or MRAD.
- Arcminute
- An arcminute is 1/60 of a degree. Shooters call it MOA (minute of angle), and it is used in map coordinates and scope adjustment.
Limits and caveats
- Results are rounded for display and computed with the browser's floating point precision (about 15 significant digits).
- Both unit factors are exact by their official definitions.
Questions about this tool
How many arcminutes are in one milliradian?
1 mrad = 3.43775 ' exactly.
How do I convert milliradians to arcminutes?
Use ' = mrad × 3.437746771. For example, 25 mrad = 85.9437 '.
How many milliradians are in one arcminute?
1 ' = 0.290888 mrad.
Why does my calculator give a strange answer for sine?
It is probably set to radians (RAD) while you are entering degrees. The sine of 30 degrees is 0.5, but the sine of 30 radians is about -0.988, so switch to DEG first.
What is the difference between MOA and MIL on a rifle scope?
MOA is an arcminute, 1/60 of a degree, while a MIL is a milliradian, about 3.438 MOA. At 100 meters a 0.1 MIL click moves impact 1 cm, and 1 MOA moves it about 2.9 cm.