Arcseconds to Milliradians Converter
Convert angle measurements from arcseconds (") to milliradians (mrad). 1 arcsecond equals approximately 0.00485 milliradians.
arcseconds (")
Result
0 mrad
Common Arcseconds to Milliradians Conversions
| Arcseconds (") | Milliradians (mrad) |
|---|---|
| 1" | 0.00485 mrad |
| 10" | 0.0485 mrad |
| 60" | 0.291 mrad |
| 206.265" | 1 mrad |
| 1,000" | 4.848 mrad |
| 3,600" (1 degree) | 17.453 mrad |
How to Convert Arcseconds to Milliradians
An arcsecond is 1/3600 of a degree. To convert arcseconds to milliradians, multiply by pi/648, which equals approximately 0.00485.
The Conversion Formula
milliradians = arcseconds x (pi / 648) = arcseconds x 0.00485
Example: Converting 206.265 Arcseconds to Milliradians
milliradians = 206.265" x 0.00485 = 1 mrad
Understanding the Relationship
Since 1 arcsecond = 1/3600 degree = pi/(3600 x 180) radians = pi/648000 radians = pi/648 milliradians, this conversion is essential for precise astronomical measurements and high-precision optics.