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May 04, 2021 | 04:04 pm 14 0

How To Calculate MOA

How To Calculate MOA

How often do you hear that a sub MOA rifle is considered a good gun? I bet that's a pretty common expression you've encountered. Okay, we know that. However, we decided to dig a little deeper and tell you how MOA is calculated and what affects it.

What Is MOA?

MOA (Minute of Angle) is an angular minute. A Minute of Angle is an angular value of 1/60th of a degree. We are used to describing groups of bullet hits on a target in MOA because this angular width is almost exactly 1 inch at 100 yards, then expands to become 2 inches at 200 yards, 3 inches at 300 yards and so on to 10 inches at 1000 yards. Keep in mind that in many scopes the adjustments are counted in MOA or may be proportional to a given unit (1/2 MOA, 1/3 MOA, 1/4 MOA, 1/8 MOA).

Sight reticle is often marked not in MOA, but in milliradians (Mil). It is used to quickly measure the range to the target or to make the appropriate correction in shooting.  One division of the reticle (Mil-Dot sights) practically corresponds to 1 inch at a range of 100 yards.

Let's say one click on your scope = 1/4 MOA. You shoot at 300 yards and the bullet hits 15 inches lower.

Calculate the correction: 15 (inches)/3 (hundreds of yards) =5 MOA or 20 clicks on your scope.

When you say your rifle is putting bullets into a 1 inch diameter circle at 100 yards, you can also say that your rifle's accuracy is about 1 MOA (angular minute) and that would be a more accurate characterization because it automatically means that the rifle gives a group of hits into a 2 inch diameter circle at 200 yards, 4 inches at 400 and so on.

What if your rifle hits a two-inch group at 100 yards? Simple, the odds are the same. Only you start counting from a wider group of hits. That "two-inch" rifle should therefore yield a four-inch group at 200 yards (twice as wide, get it?), then a 10-inch group at 500 yards, since the distance is 5 times greater and the group width is also 5 times greater than the 2 inches at 100 yards.

By expressing hit groups and trajectory reduction in MOA, you can understand how your rifle will behave at any range. And, once you understand, you can very accurately make adjustments to your scope.

How Magnification Affects MOA?

Each scope has a limited number of windage and elevation corrections, or “clicks”, expressed as a total number of angular minutes or MOA. Whether your scope has a correction step of 1/4 MOA, 1/2 MOA, or 1 MOA, the correction margin is reduced to the total whole number of MOAs. For example, the excess correction margin of the AGM 430PS sight is 60 MOA, while the lateral correction margin is 52 MOA.

The subject of your greatest concern regarding angular minutes when selecting a scope is whether the excess correction margin is sufficient for your ammunition to fire at long ranges.

But, what if the magnification of the scope changes? What do you do with the MOA then? If you are shooting at smaller targets, greater accuracy and distance?

The solution to the NATO Special Forces was the introduction of the Mil-Dot crosshairs, where the distance between the currents in the crosshairs was our familiar angular minute. It is important to understand that as an optical device is a complicated device and the nuance of using this scale was that the divisions between the points (1 MOA) were correct only at a certain magnification and distance (usually 100 yards).

Using this crosshair would simplify sighting, partially eliminate the need for corrections (verticals) and allow you to determine the distance to the target (if its size is roughly understood) through the formula = (amount of estimated target height * 1000) / by the number of dots in Mil-Dot = distance to the object.

Some scopes increase/decrease the reticle when the magnification is changed, while others do not. It is clear, that you have either to work with reticle ratio, at which 1 MOA equals 1 inch per 100 yards or to recalculate MOA value for each magnification, which you are going to use at shooting. And, definitely do not make adjustments at one magnification, switch to another, and shoot.

The click value does not depend on the magnification. The 1/4 MOA click moves the aiming point by 1/4 MOA irrespective of the magnification of the scope. Click price is the same at all magnifications. Click value is different at different distances. For example, 1/4 at 100m is 7.25mm, at 200m is 14.5mm and so on.


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