Long Range Shooting: What's the difference between Milliradians and MOA?

A MIL or an MOA linear equivalent increases proportionally with distance.

With the MOA and MIL systems, you correct the position of the reticle inside the scope, based on wind deflection and trajectory of the bullet at the target's distance.We use an angular measure, as this is very applicable to the flight path of a bullet.

Angles are independent of other units of measure, and therefore, simple formulas can be memorized and used by the shooter in ballistic drop tables and wind calculations.The MOA (minute of angle) measurement system is by a wide margin, the most popular among shooters in the United States.

MOA

There are 360 degrees in a circle and each degree is divided into 60 minutes. Hence "minutes" of angle - it's a circle broken into increments of minutes (total: 21,600 minutes). If we round to the nearest 1⁄100 of an inch, at 100 yards, 1 degree measures 62.83 inches. One MOA, 1⁄60 of that, measures 1.047 inches. 

This is usually rounded down to 1.04 to simplify the math.A minute of angle, usually used as a measure of group size, target size or shot dispersion, spans 1.047 inch at 100 yards but we round down to 1”. To calculate MOA at any distance, multiply 1.047 by the distance in yards and divide by 100.

There's another measure known as Shooter's MOA (SMOA)--rounding down MOA's true measure of 1.047 inches at 100 yards, to a much-simpler-to-calculate 1 inch at 100 yards. This is fine for short distances, but at 1000 yards this basic measure is too inaccurate, as it's not 10 inches but 10.5 inches.

For simplicity, using SMOA here, a single minute roughly equates to 1 inch at 100 yards, so shooters get used to thinking of MOA in terms of inches.  2 MOA at 100 yards is 2 inches, 1 MOA at 400 yards is 4 inches, and so on. It's great to use angles because, as you can see, they increase proportionally with distance.As long as the shooter sticks with 100-yard increments, the math is pretty simple to do in your head. MOA scopes are often adjustable by 1/4 (0.25) MOA increments (approx. 1/4 inch at 100 yards). You will hear the term MOA used a lot in long range.

For example, the term is often used to describe the size of targets, so a target at 500 yards that is 2 MOA in size (usually width), means that the target is 10 inches wide. 1 MOA at 500 yards would be 5 inches, therefore 2 MOA would be 10 (2x5) inches. However, if you are using an MOA reticle in your scope, you will use MOA as a measurement and not inches, and you will use the markings (subtension) in the scope reticle that size up targets or make adjustments. The same goes for a MIL scope reticle.

MILS/MRAD

MILs, or Milliradians, are a unit of measurement dividing radians in a circle. A radian is equal to 57.3 degrees, with 6.2832 (π x 2) radians in a circle.

There are 1000 Milliradians in 1 radian, and therefore 6,283 Milliradians (or Mils) in a circle. Thus, 1 Mil at 100 yards is equal to 10 centimeters, or 3.6" inches.

A mil is so large, it's usually broken into tenths in order to make precise adjustments.So 1 mil equals 1 yard at 1,000 yards, and 1 meter at 1,000 meters. It doesn't matter if you use metric or U.S. Scale, and that's its beauty. Milliradian scopes are often adjustable by 1/10th (0.1) Mil increments.

At 100 yards, a 0.1 mil click is 0.36 inch, and a full mil is 3.6 inches (Practically speaking, 1⁄10 of a mil equals 1 centimeter at 100 meters). MILs, like MOA, is an angular measure, and the length it represents, increases proportionally with distance. For example, 1 mil at 100 yards equals 3.6 inches, and 7.2 inches at 200 yards.

COMPARING MILS AND MOA

There are 21,600 MOA in a circle, so a little quick division determines there are 3.4377 MOA per mil. At 100 yards, 3.4377 MOA equals 3.599 inches (3.4377 x 1.047). Rounded up, one mil equals 3.6 inches at 100 yards.

To convert MILs to MOA = MULTIPLY BY 3.5 (The precise math is Mils x 3.438 = MOA)
To convert MOA to MILs = DIVIDE BY 3.5 (The precise math is MOA / 3.438 = Mils)

You may need to be able to do this conversion if you're shooting with a spotter with a MIL spotting scope, while you are using a MOA rifle scope. Converting between the two can be crucial to making proper adjustments. The same is true when using off the shelf ammunition that may have data on your ammo's drop (at given yardage), in a unit of measurement your scope isn't setup for, and you don't have time to use a ballistic drop table to switch to your reticle and turret type.

SUBTENSIONS AND TURRETS

Subtension, the measurement of a section that a reticle covers at a certain range, is also important, especially when trying to estimate range or calculate for wind or trajectory by holding off the target. Like MILs and MOA, subtension is an angular measurement. What you need to watch for, is a mix of different reticles and turrets, in terms of MILs and MOA.

For example, you are shooting with a mil-dot reticle (one that uses MIL dots as measurements) and a MOA scope with 1⁄4-MOA clicks. Here, you might need to convert what you see through the scope in MIL measurements into MOA clicks (on the scope turrets) - this means doing math at a time when you are likely to need speed and a quick adjustment.

It's hassle you don't need, so try and match the reticle to the turrets. 

This is even worse if you are using a second focal plane scope that has differing measurements in the reticle, depending on the magnification you have set. Reticles in the first focal plane (FFP) maintain the same relationship to the target regardless of magnification. Reticles in the second focal plane (SFP) cause the subtension/relationship to change, as magnification is altered. Reticles set in the second focal plane are usually calibrated to work at the scope's maximum magnification, so beware.