One milliradian is 0.001 radians.
Milliradians to Arcminutes Converter — mrad to arcmin
Convert Milliradian (mrad) to Arcminute (arcmin) using the exact conversion factor (1 milliradian = 3.437746771 arcminute). See the formula, worked examples, and conversion table.
Milliradians to Arcminutes converter
Converter
Angle Converter
Convert radians, degrees, gradians, turns, arcminutes, arcseconds, and milliradians.
Context values
Some unit families need one extra value for a physically accurate result.
One arcminute is 1/60 degree.
Result = input x 0.001 / 0.0002908882087.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Milliradians to Arcminutes
Milliradian and Arcminute are the two standard ways to measure angles — degrees for everyday and navigational use, radians for calculus and physics — so converting between them comes up constantly in math, engineering, and programming. Specifically: One milliradian is 0.001 radians, and one arcminute is 1/60 degree.
Formula
arcminutes = milliradians × 3.43774677078
This factor comes from each unit's defined relationship to the category's base unit: 1 milliradian equals 0.001 base units, and 1 arcminute equals 0.000290888208666 base units, so dividing one by the other gives the direct milliradian-to-arcminute factor of 3.43774677078.
Simple example
1 mrad × 3.437746771 = 3.437746771 arcmin
1 milliradian = 3.437746771 arcminutes.
Real-world example
90 mrad × 3.437746771 = 309.3972094 arcmin
90 milliradians = 309.3972094 arcminutes.
Conversion table
| Milliradian (mrad) | Arcminute (arcmin) |
|---|---|
| 0 mrad | 0 arcmin |
| 30 mrad | 103.1324031 arcmin |
| 45 mrad | 154.6986047 arcmin |
| 90 mrad | 309.3972094 arcmin |
| 180 mrad | 618.7944187 arcmin |
| 360 mrad | 1,237.588837 arcmin |
Reverse conversion: Arcminute to Milliradian
3.437746771 arcmin × 0.2908882087 = 1 mrad
3.437746771 arcminutes = 1 milliradians.
milliradians = arcminutes × 0.290888208666
For a page dedicated to this direction, see Arcminute to Milliradian.
Understanding the Milliradian (mrad)
One milliradian is 0.001 radians.
Understanding the Arcminute (arcmin)
One arcminute is 1/60 degree.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many arcminutes are in 1 milliradian?
1 milliradian equals 3.437746771 arcminutes, using the exact defined conversion factor rather than an estimate.
How do I convert milliradian to arcminute?
Multiply the milliradian value by 3.437746771. The converter above does this instantly to whatever precision you set.
How do I convert arcminute back to milliradian?
Use the reverse factor: 1 arcminute equals 0.2908882087 milliradians. You can also use the swap control in the converter above to flip the direction instantly.
What is a milliradian?
Milliradian (mrad) is a unit of angle.
What is a arcminute?
Arcminute (arcmin) is a unit of angle.
Is the milliradian to arcminute conversion exact?
Yes. Both milliradian and arcminute are defined by fixed standards rather than physical artifacts, so the factor of 3.437746771 used above is exact to as many digits as you choose to display.