Milliradians to Arcseconds Converter
Convert angle measurements from milliradians (mrad) to arcseconds ("). 1 milliradian equals approximately 206.265 arcseconds.
milliradians (mrad)
Result
0"
Common Milliradians to Arcseconds Conversions
| Milliradians (mrad) | Arcseconds (") |
|---|---|
| 0.01 mrad | 2.06265" |
| 0.1 mrad | 20.6265" |
| 0.5 mrad | 103.132" |
| 1 mrad | 206.265" |
| 5 mrad | 1,031.32" |
| 10 mrad | 2,062.65" |
How to Convert Milliradians to Arcseconds
A milliradian is 1/1000 of a radian, and an arcsecond is 1/3600 of a degree. To convert milliradians to arcseconds, multiply by 648/pi, which equals approximately 206.265.
The Conversion Formula
arcseconds = milliradians x (648 / pi) = milliradians x 206.265
Example: Converting 1 Milliradian to Arcseconds
arcseconds = 1 mrad x 206.265 = 206.265"
Understanding the Relationship
Since 1 radian = 180/pi degrees = 648000/pi arcseconds, and 1 milliradian = 1/1000 radian, we get 1 milliradian = 648/pi arcseconds. This is an important conversion in astronomy and precision optics.