Milliradians to Arcminutes Converter
Convert angle measurements from milliradians (mrad) to arcminutes ('). 1 milliradian equals approximately 3.43775 arcminutes.
milliradians (mrad)
Result
0'
Common Milliradians to Arcminutes Conversions
| Milliradians (mrad) | Arcminutes (') |
|---|---|
| 0.1 mrad | 0.343775' |
| 0.5 mrad | 1.71887' |
| 1 mrad | 3.43775' |
| 5 mrad | 17.1887' |
| 10 mrad | 34.3775' |
| 17.453 mrad | 60' (1 degree) |
How to Convert Milliradians to Arcminutes
A milliradian is 1/1000 of a radian. To convert milliradians to arcminutes, multiply by the conversion factor 10.8/pi, which equals approximately 3.43775.
The Conversion Formula
arcminutes = milliradians x (10.8 / pi) = milliradians x 3.43775
Example: Converting 10 Milliradians to Arcminutes
arcminutes = 10 mrad x 3.43775 = 34.3775'
Understanding the Relationship
Since 1 radian = 180/pi degrees = 10800/pi arcminutes, and 1 milliradian = 1/1000 radian, we get 1 milliradian = 10.8/pi arcminutes. This relationship is useful in precision applications like surveying and ballistics.