One arcminute is 1/60 degree.
Arcminutes to Milliradians Converter — arcmin to mrad
Convert Arcminute (arcmin) to Milliradian (mrad) using the exact conversion factor (1 arcminute = 0.2908882087 milliradian). See the formula, worked examples, and conversion table.
Arcminutes to Milliradians 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 milliradian is 0.001 radians.
Result = input x 0.0002908882087 / 0.001.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Arcminutes to Milliradians
Arcminute and Milliradian 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 arcminute is 1/60 degree, and one milliradian is 0.001 radians.
Formula
milliradians = arcminutes × 0.290888208666
This factor comes from each unit's defined relationship to the category's base unit: 1 arcminute equals 0.000290888208666 base units, and 1 milliradian equals 0.001 base units, so dividing one by the other gives the direct arcminute-to-milliradian factor of 0.290888208666.
Simple example
1 arcmin × 0.2908882087 = 0.2908882087 mrad
1 arcminute = 0.2908882087 milliradians.
Real-world example
90 arcmin × 0.2908882087 = 26.17993878 mrad
90 arcminutes = 26.17993878 milliradians.
Conversion table
| Arcminute (arcmin) | Milliradian (mrad) |
|---|---|
| 0 arcmin | 0 mrad |
| 30 arcmin | 8.72664626 mrad |
| 45 arcmin | 13.08996939 mrad |
| 90 arcmin | 26.17993878 mrad |
| 180 arcmin | 52.35987756 mrad |
| 360 arcmin | 104.7197551 mrad |
Reverse conversion: Milliradian to Arcminute
0.2908882087 mrad × 3.437746771 = 1 arcmin
0.2908882087 milliradians = 1 arcminutes.
arcminutes = milliradians × 3.43774677078
For a page dedicated to this direction, see Milliradian to Arcminute.
Understanding the Arcminute (arcmin)
One arcminute is 1/60 degree.
Understanding the Milliradian (mrad)
One milliradian is 0.001 radians.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many milliradians are in 1 arcminute?
1 arcminute equals 0.2908882087 milliradians, using the exact defined conversion factor rather than an estimate.
How do I convert arcminute to milliradian?
Multiply the arcminute value by 0.2908882087. The converter above does this instantly to whatever precision you set.
How do I convert milliradian back to arcminute?
Use the reverse factor: 1 milliradian equals 3.437746771 arcminutes. You can also use the swap control in the converter above to flip the direction instantly.
What is a arcminute?
Arcminute (arcmin) is a unit of angle.
What is a milliradian?
Milliradian (mrad) is a unit of angle.
Is the arcminute to milliradian conversion exact?
Yes. Both arcminute and milliradian are defined by fixed standards rather than physical artifacts, so the factor of 0.2908882087 used above is exact to as many digits as you choose to display.