How to convert degrees to milliradians
To convert a measurement in degrees to milliradians, multiply the value by 17.453293. The conversion factor comes from the relationship between both units and the radian.
For example, to convert 5 ° to milliradians: 5 × 17.453293 = 87.266463 mrad.
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.
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.
Degrees to milliradians worked examples
Here are some common values converted:
1 ° = 17.453293 mrad 5 ° = 87.266463 mrad 10 ° = 174.532925 mrad 50 ° = 872.664626 mrad 100 ° = 1,745.3293 mrad
Frequently asked questions
How many milliradians are in one degree?
One degree (°) equals 17.453293 milliradians (mrad). Multiply any value in degrees by 17.453293 to convert to milliradians.
How do I convert degrees to milliradians?
Multiply the value in degrees by 17.453293. For example, 5 ° × 17.453293 = 87.266463 mrad.
How do I convert milliradians to degrees?
Multiply the value in milliradians by 0.057295779513, or divide by 17.453293. Use the swap button on the converter above to reverse the direction.
Is the degree to milliradian 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 degrees to milliradians?
The formula is: mrad = ° × 17.453293. This comes from the definition of both units relative to the radian.