How to convert milliradians to gradians
To convert a measurement in milliradians to gradians, multiply the value by 0.063661977237. The conversion factor comes from the relationship between both units and the radian.
For example, to convert 5 mrad to gradians: 5 × 0.063661977237 = 0.318309886184 gon.
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 gradian?
A gradian (also called gon or grade) is a unit of plane angle equal to 1/400 of a full turn, so a right angle is exactly 100 gradians. Introduced in France around the time of the French Revolution as part of the push to decimalize all measurement, the gradian divides the quarter circle into a tidy 100 units. It survives mainly in surveying and some European civil engineering.
Common uses of gradians include: Land surveying and geodesy in parts of Europe; Civil engineering slope and grade calculations; Some scientific calculators (GRAD mode); Cadastral (property boundary) measurement.
Milliradians to gradians worked examples
Here are some common values converted:
1 mrad = 0.063661977237 gon 5 mrad = 0.318309886184 gon 10 mrad = 0.636619772368 gon 50 mrad = 3.183099 gon 100 mrad = 6.366198 gon
Frequently asked questions
How many gradians are in one milliradian?
One milliradian (mrad) equals 0.063661977237 gradians (gon). Multiply any value in milliradians by 0.063661977237 to convert to gradians.
How do I convert milliradians to gradians?
Multiply the value in milliradians by 0.063661977237. For example, 5 mrad × 0.063661977237 = 0.318309886184 gon.
How do I convert gradians to milliradians?
Multiply the value in gradians by 15.707963, or divide by 0.063661977237. Use the swap button on the converter above to reverse the direction.
Is the milliradian to gradian 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 gradians?
The formula is: gon = mrad × 0.063661977237. This comes from the definition of both units relative to the radian.