Convert Milliarcsecond to Milliradian
Enter the number of milliarcseconds that you want to convert to milliradians.
How to Convert Milliarcseconds to Milliradians
The milliarcsecond and milliradian are both units of angle. 1 milliradian equals 206264.64124 milliarcseconds. This means to convert milliarcseconds to milliradians, you divide by 206264.64124.
Formula
Step-by-Step Example
Convert 5 mas to milliradians:
We need to convert milliarcseconds to milliradians
Since 1 mrad = 206264.64124 mas, divide by 206264.64124
5 ÷ 206264.64124 = 2.4240703448e-5
5 mas = 2.4240703448e-5 mrad
Milliarcsecond to Milliradian Conversion Table
Quick reference table for common milliarcsecond to milliradian conversions. Click any value for detailed calculation.
| Milliarcseconds (mas) | Milliradians (mrad) |
|---|---|
| 0.1 mas | 4.8481406896e-7 mrad |
| 0.5 mas | 2.4240703448e-6 mrad |
| 1 mas | 4.8481406896e-6 mrad |
| 2 mas | 9.6962813792e-6 mrad |
| 5 mas | 2.4240703448e-5 mrad |
| 10 mas | 4.8481406896e-5 mrad |
| 25 mas | 0.0001212035 mrad |
| 50 mas | 0.000242407 mrad |
| 100 mas | 0.0004848141 mrad |
About These Units
Milliarcsecond (mas)
A milliarcsecond (mas) is 1/1000 of an arcsecond. Milliarcseconds measure stellar parallax (nearest star: 768 mas), proper motion, and high-precision astrometry. The Gaia satellite measures positions to ~0.02 mas accuracy.
Milliradian (mrad)
A milliradian (mrad or mil) equals 0.001 radians or approximately 0.057°. Milliradians are used in military ballistics, optics, and laser rangefinding. NATO uses 6400 mils per circle. At 1000 meters, 1 mrad subtends 1 meter—convenient for range estimation.
Frequently Asked Questions
How do I convert milliarcseconds to milliradians?
To convert milliarcseconds to milliradians, divide the value by 206264.64124. For example, 10 mas = 4.8481406896e-5 mrad.
How many milliradians are in 1 milliarcsecond?
1 milliarcsecond equals 4.8481406896e-6 milliradians.
What is the formula for milliarcseconds to milliradians?
The formula is: mrad = mas ÷ 206264.64124.