How to convert milliradians to degrees
To convert a measurement in milliradians to degrees, multiply the value by 0.057295779513. The conversion factor comes from the relationship between both units and the radian.
For example, to convert 5 mrad to degrees: 5 × 0.057295779513 = 0.286478897565 °.
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 degree?
A degree is a unit of plane angle equal to 1/360 of a full turn, so a full circle contains exactly 360 degrees. The 360-degree circle traces back to ancient Babylonian astronomers, whose base-60 (sexagesimal) number system made 360 a convenient, highly divisible count for tracking the roughly 365-day solar year. It remains the most widely used angle unit in everyday life.
Common uses of degrees include: Geometry, trigonometry, and school mathematics; Compass bearings and navigation headings; Latitude and longitude coordinates; Camera field of view and lens specifications.
Milliradians to degrees worked examples
Here are some common values converted:
1 mrad = 0.057295779513 ° 5 mrad = 0.286478897565 ° 10 mrad = 0.572957795131 ° 50 mrad = 2.864789 ° 100 mrad = 5.729578 °
Frequently asked questions
How many degrees are in one milliradian?
One milliradian (mrad) equals 0.057295779513 degrees (°). Multiply any value in milliradians by 0.057295779513 to convert to degrees.
How do I convert milliradians to degrees?
Multiply the value in milliradians by 0.057295779513. For example, 5 mrad × 0.057295779513 = 0.286478897565 °.
How do I convert degrees to milliradians?
Multiply the value in degrees by 17.453293, or divide by 0.057295779513. Use the swap button on the converter above to reverse the direction.
Is the milliradian to degree 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 degrees?
The formula is: ° = mrad × 0.057295779513. This comes from the definition of both units relative to the radian.