How to convert milliradians to arcseconds
To convert a measurement in milliradians to arcseconds, multiply the value by 206.264806. The conversion factor comes from the relationship between both units and the radian.
For example, to convert 5 mrad to arcseconds: 5 × 206.264806 = 1,031.324 ″.
What is a milliradian?
A milliradian is one thousandth of a radian. At a distance of 1,000 units it subtends almost exactly 1 unit, which makes it convenient for range and angle estimation. The milliradian became widely used in the military for artillery and rifle sighting because of its clean relationship between angle and distance. Riflescopes commonly use 'mil' adjustments and reticles based on it.
Common uses of milliradians include: Rifle and artillery sighting (mil-dot reticles); Range estimation from known target size; Laser divergence and beam-spread specifications; Precision optics and alignment.
What is a arcsecond?
An arcsecond is a unit of angle equal to 1/60 of an arcminute, 1/3,600 of a degree, or 1/1,296,000 of a full turn. It is written with a double-prime symbol (″). The arcsecond continues the Babylonian sexagesimal subdivision one step further and became essential in astronomy, where stellar parallaxes are measured in fractions of an arcsecond (the parsec is defined from it).
Common uses of arcseconds include: Stellar parallax and astrometry; Telescope resolution and seeing conditions; High-precision surveying and geodesy; Satellite and spacecraft pointing accuracy.
Milliradians to arcseconds worked examples
Here are some common values converted:
1 mrad = 206.264806 ″ 5 mrad = 1,031.324 ″ 10 mrad = 2,062.6481 ″ 50 mrad = 10,313.2403 ″ 100 mrad = 20,626.4806 ″
Frequently asked questions
How many arcseconds are in one milliradian?
One milliradian (mrad) equals 206.264806 arcseconds (″). Multiply any value in milliradians by 206.264806 to convert to arcseconds.
How do I convert milliradians to arcseconds?
Multiply the value in milliradians by 206.264806. For example, 5 mrad × 206.264806 = 1,031.324 ″.
How do I convert arcseconds to milliradians?
Multiply the value in arcseconds by 0.004848136811, or divide by 206.264806. Use the swap button on the converter above to reverse the direction.
Is the milliradian to arcsecond conversion exact?
Angle conversions are exact. Degrees, gradians and revolutions are defined as exact fractions of a full turn (2π radians).
What is the formula for milliradians to arcseconds?
The formula is: ″ = mrad × 206.264806. This comes from the definition of both units relative to the radian.