How many meters are in one mil, according to military standards for measuring angles?

In military standards for measuring angles, one mil is defined as the angle at which a 1-meter long object subtends an angle of 1 milliradian at a distance of 1,000 meters. This leads to a conversion where 1 mil is equivalent to approximately 10 centimeters at that distance. However, for practical applications in range estimation and artillery, the more commonly used approximation is that 1 mil represents about 1 meter at 1,000 meters.

The choice of 16.67 meters is derived from the fact that if you take the formula for the circumference of a circle (C = 2πr), you can derive how many meters correspond to one mil of angular measurement at a specific distance. In this case, 1,000 meters gives you a result of 16.67 meters per mil when you consider angular measurements around a full circle (which consists of 6,283.18 mils in total).

Thus, based on this understanding, 1 mil corresponds to approximately 16.67 meters at the common military standard range.