Milliradians to Gradians (mrad → gon)

Milliradians to Gradians Conversion

Milliradians and gradians both measure angles but differ by scale and base units. One gradian equals one hundredth of a right angle, or 1/400 of a circle. One milliradian equals approximately 0.06366 gradians. This is useful in surveying and artillery where gradians are common.

Sources: NIST Special Publication 811

Milliradians → Gradians

Converting Milliradians (mrad) to Gradians (gon) is a common angle conversion. 1 mrad equals 0.063662 gon. For example, 100 mrad is equal to 6.366198 gon.

Quick Mental Math: Milliradians to Gradians

Approximate: multiply milliradians by 0.064 to get gradians.

Why is converting Milliradians to Gradians tricky?

Units differ by both scale and base (circle divided into 2π vs 400), making direct conversion non-intuitive.

Quick Reference Values

1 mrad = 0.063662 gon. 5 mrad = 0.31831 gon. 10 mrad = 0.63662 gon. 25 mrad = 1.591549 gon. 50 mrad = 3.183099 gon. 100 mrad = 6.366198 gon.

What is Milliradians?

Milliradians (mrad) is a unit of angle. The milliradian (mrad) is an angular measurement unit equal to one-thousandth of a radian. Since 1 radian equals approximately 57.2958 degrees, 1 mrad equals 0.0573 degrees. It is primarily used in ballistics, optics, and surveying for angular precision [bipm-si-brochure]. The radian was formally defined in the early 20th century as a standard SI unit of angle. The milliradian emerged as a practical subdivision for fine angular measurements, adopted by military and scientific communities for targeting and measurement accuracy [nist-si-guide]. Milliradians are standard in NATO countries' military aiming devices, European surveying, and optical instrumentation globally. The unit is recognized by BIPM as a derived SI unit for plane angle [bipm-si-brochure].

What is Gradians?

Gradians (gon) is a unit of angle. A gradian, also called a gon, is an angular unit where one full circle equals 400 gradians. Each gradian equals 0.9 degrees or π/200 radians. This unit facilitates decimal subdivision of right angles and is defined by international standards for angular measurement [bipm-si-brochure]. Gradians were introduced in the late 18th century during the French Revolution to simplify angle calculations using a decimal system. The unit was later adopted by the ISO and BIPM as part of supplementary units to the SI [bipm-si-brochure]. Gradians are used in surveying, geodesy, and cartography, particularly in Europe, including France and Germany. They provide a convenient decimal-based alternative to degrees for precise angular measurements [nist-si-guide].

Common Misspellings

People often search for this conversion using these alternate spellings: milli radian, millirad, miliradian, mradn, milirads, gradian, graden, gradian. All of these refer to the Milliradians to Gradians conversion.

FAQ