arc-seconds to milliradians
Convert arc-second to milliradian — instant, free, with the formula shown.
1 ″=0.00484814 mrad
How to convert arc-second to milliradian
To convert arc-second to milliradian, multiply by 0.00484814:
mrad = ″ × 0.00484814
For example, 10 ″ × 0.004848 = 0.04848137 mrad.
″ to mrad conversion table
| arc-seconds (″) | milliradians (mrad) |
|---|---|
| 1 ″ | 0.00484814 mrad |
| 2 ″ | 0.00969627 mrad |
| 5 ″ | 0.02424068 mrad |
| 10 ″ | 0.04848137 mrad |
| 25 ″ | 0.12120342 mrad |
| 50 ″ | 0.24240684 mrad |
| 100 ″ | 0.48481368 mrad |
| 250 ″ | 1.2120342 mrad |
| 500 ″ | 2.42406841 mrad |
| 1000 ″ | 4.84813681 mrad |
Other arc-second conversions
Convert to milliradian from another unit
″ to mrad — frequently asked
How many milliradians are in 1 arc-second?
1 arc-second = 0.00484814 milliradians (″ × 0.004848 = mrad).
What is the formula to convert arc-second to milliradian?
Multiply your arc-second value by 0.00484814 to get milliradian.
How do I convert 10 arc-seconds to milliradians?
10 ″ = 0.04848137 mrad. For 100 ″ the answer is 0.48481368 mrad. Use the calculator on this page for any other value.
When to convert arc-second to milliradian
1Mathematics and trigonometry (radians)
2Surveying and navigation (degrees, minutes, seconds)
3Engineering (mrad for laser sights, optics)
4Astronomy (arc-seconds for stellar parallax)
Angle conversion — common questions
Why are radians used in math instead of degrees?
Because in radians, derivatives and series of trig functions take their simplest form (d/dx sin(x) = cos(x) only when x is in radians).
How many degrees in 1 radian?
1 rad = 180/π ≈ 57.2958°.
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