What is MOA? Understanding and using Minute of Angle

by Ryan Cleckner

November 20, 2021

8 comments

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If you’re looking to understand Minutes Of Angle (MOA), or even just MOA meaning, you’re in luck!

In this MOA guide, we’re going to explore everything you need to know about Minute of Angle and how it relates to shooting a scoped rifle.

If you’re here to learn about MOA, there’s a good chance it’s because you’re interested in learning how to adjust your rifle scope or zero (sight in) your rifle. If so, you should also check out those articles next.

Also, if you’re curious about Milliradians (Mils), which is a similar system to MOA, please check out Understanding Mils.

What is MOA?

Before we dive into the deep stuff, we need to first adress the acronym moa and what it means.

MOA Definition: MOA stands for Minute of Angle.

Let’s break this term down…

“Minute” is a way to refer to 1/60th of something. For example, 1 minute of an hour is 1/60th of that hour. Therefore, we now know that 1 MOA is one sixtieth of an angle…but which angle is MOA referring to?

The “Angle” in MOA (Minute of Angle) is one of the 360 degrees in a circle.

Therefore, MOA is 1/60th of one degree in a circle.

MOA Diagram
Diagram of MOA

You may now be asking: “Why is MOA used with rifle scopes and long range shooting?”

Great question!

However, before we get into why (and how) MOA is used for shooting rifles, we need to first improve our understanding a bit more about what Minute of Angle is.

The first thing to understand about Minute of Angle (MOA) is that it is an angular and not a linear measurement.

What does that mean?

It means that a Minute of Angle is just like any other angular measurement… it can only refer the the angle between two things and NOT a length.

If that confuses you, or at least makes you wonder why that matters, let me explain it a little.

Here’s how I like to explain Minute of Angle (just like I do in the video below and in the Long Range Shooting Handbook):

Minute of Angle Explained

Imagine holding two laser-pointers in your hand and pointing them both at the same spot on a target 100 yards away. Now, if you spread those two laser pointers apart at a certain angle, the lasers’ dots on the target will spread further apart.

If the laser-pointers were spread apart at a 45 degree angle, for example, the dots would be very far apart at 100 yards. However, if the laser-pointers were spread apart at a small angle, let’s say 1/60th of one degree (one MOA), then the laser pointers’ dots would be about 1 inch apart.

Pretty cool huh?

Now, even though we just learned that 1 MOA is about 1 inch at 100 yards, it is NOT accurate to say “1 MOA is an inch.”

This is because MOA is an angular measurement and the liner distance (what we’re measuring in inches in this example with a ruler on the target) changes depending on how far away from the laser pointers we are.

Therefore, it is more accurate to say that 1 MOA is about 1 inch at 100 yards.

So, how big is 1 MOA at 200 yards?

1 MOA is about 2 inches at 200 yards. Yep, it’s now a 2 inch liner measurement at 200 yards even though we’re still dealing with one MOA.

To help illustrate this, go back to those laser pointers in our previous example.

If you moved the 100 yard target out of the way and let the lasers travel to a 200 yard target, they would continue spreading apart at the same angle and they’d end up about 2 inches apart at the 200 yard target.

100 Yard MOA Spread
MOA spread per 100 yards diagram

It is therefore fair to say that 1 MOA is about 1 inch per 100 yards.

One MOA is about 5 inches at 500 yards, about 10 inches at 1000 yards, and so on.

Because MOA is an angular measurement, you must know the distance before a linear measurement (size on a target) can be known/calculated.

Long Range Shooting Fact:

Minute of Angle is an ANGULAR measurement – it is NOT a linear measurement!

This means that an MOA can never be a linear answer (e.g. 4 inches) without first knowing the distance.

What is Moa Exactly?

If you’ve been paying attention, you’ll notice that I used the term “about” when I explain that 1 MOA is about 1 inch per 100 yards.

Technically, 1 MOA is precisely 1.047 inches per 100 yards.

However, I see no need to be that precise and instead I choose to round down and use “about 1 inch” at 100 yards.

Wait… did I just tell you to not worry about being precise when you’re trying to learn about precision shooting?

Yes! Let me explain:

At 1000 yards, a true MOA is 10.47 inches whereas my rounded MOA is 10 inches at 1000 yards.

I argue that the 0.47 inch difference in MOA calculations at 1000 yards is not enough to worry about. For one, the 0.47 inches is slightly wider than the width of the bullet you’re likely to be shooting at 1000 yards. Second, most shooters (me included) can not appreciate the benefit of a 0.47 inch bullet impact adjustment at 1000 yards because we can’t shoot groups that small.

Also, it’s MUCH faster to work with the rounded MOA calculations. Yes, it’s not as precise, but the distance to the target may not be as precise as you’d like and most people can’t enjoy the benefit of the precise difference for 1 MOA.

For example, here’s a chart of MOA calculation comparison:

MOA Size at Distance

Distance Inches in True MOA Inches in Appx MOA
1001.0471
2002.0942
3003.1413
4004.1884
5005.2355
6006.2826
7007.3297
8008.3768
9009.4239
100010.47010
MOA Table

Of course, if you’re dealing with multiple MOA adjustments, then that 0.47 inch difference starts adding up. However, I don’t think this makes much of a practical difference because this would only matter if you were doing a calculation before ever shooting at a distance and wanting a perfect result.

For example, most shooters will try to shoot with an approximate elevation adjustment needed for their rifle and bullet. Then, they’ll fine-tune the adjustment as needed.

If, however, you wanted an exactly 450 inch adjustment at 1000 yards from your 100 yard zero, then you wouldn’t get it by adjusting up 45 MOA. Instead, you’d get a 471.15 inch adjustment.

Why does this not matter (or will it be unlikely to matter)? Most of the time, you won’t be trying to make a large adjustment of inches like this. Instead, you might find that you should adjust 45 MOA to hit at 1000 yards for your particular caliber.

Minute of Angle Explanation Video

If you like how I explain what MOA is, you really should check out this video of me explaining MOA that I filmed for the NSSF. We thought that it’d be a popular topic but we had no idea that a couple million people would watch it to learn about MOA.

In our video, we delve into how to use MOA. In this article, we start that topic below the video.

How to Use Minute of Angle

The biggest “aha” moment in the above video for many shooters is my advice to think in “chunks” of MOA at a certain distance BEFORE trying to calculate MOA adjustments.

The math for calculating MOA is very easy. In fact, it is so easy, that some rifle shooters get wrapped around the axle and get the wrong answer by trying to make MOA difficult.

Here’s my MOA trick:

Think in MOA chunks for the distance you are shooting.

As an example, let’s pretend that you are shooting at 400 yards. From the MOA explanation above, we know that 1 MOA will equal about 4 inches at 400 yards. Therefore, start thinking in “4 inch chunks” for our 400 yard target.

If I’m working with Mils, I just imagine centimeter sized chunks.

If your bullet is 4 inches low at 400 yards, you know that 1 of your “4 inch chunks” will fit into that 4 inch adjustment. Therefore, you’ll need to adjust up 1 MOA.

If however, your bullet’s impact is 8 inches low at 400 yards, then you should note that 2 of those “4 inch chunks” will fit within the 8 inch adjustment. Therefore, you would need to adjust up 2 MOA at that distance.

Now, it doesn’t need to be even numbers to work. For example, with this method, you should be able to easily see that 1.5 MOA is needed to adjust 6 inches at 400 yards because 1.5 of those “4 inch chunks” will fit within the 6 inch difference.

This can also be useful when hunting. You can determine the diameter of a kill-zone in MOA for a certain distance to know how far you’ll be able to shoot and make adjustments at different distances.

Long Range Shooting Handbook

A Beginner’s Guide to Precision Rifle Shooting
Long Range Shooting Handbook

This topic, and many more long range shooting topics, are covered in the best-selling Long Range Shooting Handbook.

What is Moa? It’s Not “Clicks”

Here’s some more advice: if you’re going to use MOA, then use MOA! Stop talking in “clicks.”

First, by always talking about and referring to MOA, you will understand how to use it better. Of course, there’s always the option to use Mils instead.

Also, by using “clicks” you’re likely to confuse yourself when switching between rifles or for you and your shooting buddy to confuse each other.

If I tell you to adjust up 1 MOA, then it is up to you to know how many “clicks” on your scope is required to get that 1 MOA adjustment.

However, if your scope’s turret adjusts in 4 clicks per MOA and mine adjusts in 2 clicks per MOA, then me telling you to come up “2 clicks” (when I should have said 1 MOA) will result in you making the incorrect adjustment by 50%.

MOA vs Mil

I’m often asked which is better, MOA or Mils?

I can’t really answer this for you.

I think in MOA because I’ve spent many years with it and have many MOA scopes. However, I usually recommend starting with Mils as, once it’s learned, I think it is a better system overall and the future of long range shooting.

However, you may just think in MOA easier or your friends may use MOA – in this case, using MOA is going to be a better experience for you.

Minute of Angle Formulas

Here are some formulas you can use when working with minutes of angle while shooting:

Simple MOA Formulas:

Yards to Target / 100 = inches per MOA adjustment at that distance

Inches of Adjustment Needed / Size of 1 MOA Chunk in Inches = MOA adjustment

Clicks per MOA on Scope x Number of MOA Adjustment Needed = Number of Clicks Needed for Adjustment

Note, if you want to use 1.047 inches per 100 yards instead of 1 inch per 100 yards, then multiply the (inches per MOA at that distance) by 1.047

MOA Calculations:

MOA -> Mils: MOA / 3.438 = Mils

MOA -> inches per 100 yards (rounded): MOA = inches per 100 yards

MOA -> inches per 100 yards (precise): MOA x 1.047 = exact inches per 100 yards

Mils -> centimeters per 100 meters: Mils x 10 = centimeters per 100 meters

To see a table with these calculations, check out the MOA table at the bottom of this article.

What is MOA? Quiz

If you’d like some practice to ensure that you understand what MOA are, here you go!

How many MOA is 3 inches at 300 yards?

It is 1 MOA. Remember, because MOA is an angular measurement, it’s linear size gets larger the further away you go.

How many MOA is 9 inches at 600 yards?

It is 1.5 MOA. If you think in “chunks,” you know that 1 MOA is a 6 inch chunk at 600 yards. One and a half 6 inch chunks fit within the 9 inch size… therefore 1.5 MOA. So, if you measure that your bullet impacted 9 inches low at 600 yards, you’d adjust your turret up 1.5 MOA.

At 25 yards, how far will a bullet’s impact change with an 8 MOA adjustment?

2 inches. 1 MOA is 0.25 inches at 25 yards and 8 of those 0.25 inch chunks equal 2 inches.

If your scope adjusts 1/4 MOA per click, how many “clicks” are needed to move 2 inches at 100 yards?”

8 clicks. First, you should notice that I shouldn’t have talked in “clicks.” Good job. ???? Next you should first calculate how many MOA is needed – 2 MOA is needed to adjust 2 inches at 100 yards. Next, you should note that 4 “clicks” equal 1 MOA therefore 8 “clicks” are needed.

If you’re looking for more discussion on this topic, and more questions and answers, please check out the Long Range Shooting Handbook.

What is MOA? FAQ

Q: How big is a Minute of Angle (MOA) at 100 yards?

A: A Minute of Angle (MOA) is about 1″ big at 100 yards. Precisely, is it 1.047″ big at 100 yards.

Q: Are Mil and MOA the same thing?

A: No, Mil and MOA are not the same thing. However, they can be used in the same way as they are both angular measurements. “Mil” is short for Milliradian (1/1000th of a radian). To learn more about Mils, check out our Mils Guide.

Q: What is MOA used for?

A: MOA is used for adjusting a rifle scope either to sight in a rifle (zero) or to engage targets at different distances.

Q: Which can be adjusted on a scope more precisely (finely), MOA or Mil?

A: MOA can be adjusted in finer (smaller/precise) increments than Mils for most scopes. This is because most scopes that adjust in MOA adjust in 1/4 MOA per “click” whereas most Mil scopes adjust in 1/10 Mil per “click.” At 100 yards, 1/4 MOA is 0.25″ whereas 1/10th Mil is 0.36″

Q: How many clicks are 1 MOA increments on my scope?

If you have an moa scope, it most likely adjusts in 4 clicks for 1 MOA increment. However, some scopes adjust in 1/2 MOA per click and some even have a turret that adjusts 1 full MOA per click. It’s important that you as the shooter know how much of an adjustment on your turret will move your bullet impact.

MOA Table

In this MOA table, we’ve given you easy conversions between MOA and Mils along with their sizes in inches and centimeters at different distances.

If you’d like to convert these numbers on your own, please see the Minute of Angle Formulas above.

MOAMilsInches/100 yds (rounded)Inches/100 yds (exact)CM per 100 meters
0.250.070.250.260.73
0.50.150.50.521.45
0.750.220.750.792.18
10.2911.052.91
1.250.361.251.313.64
1.50.441.51.574.36
1.750.511.751.835.09
20.5822.095.82
2.250.652.252.366.54
2.50.732.52.627.27
2.750.802.752.888.00
30.8733.148.73
3.250.953.253.409.45
3.51.023.53.6610.18
3.751.093.753.9310.91
41.1644.1911.63
4.251.244.254.4512.36
4.51.314.54.7113.09
4.751.384.754.9713.82
51.4555.2414.54
5.251.535.255.5015.27
5.51.605.55.7616.00
5.751.675.756.0216.72
61.7566.2817.45
6.251.826.256.5418.18
6.51.896.56.8118.91
6.751.966.757.0719.63
72.0477.3320.36
7.252.117.257.5921.09
7.52.187.57.8521.82
7.752.257.758.1122.54
82.3388.3823.27
8.252.408.258.6424.00
8.52.478.58.9024.72
8.752.558.759.1625.45
92.6299.4226.18
9.252.699.259.6826.91
9.52.769.59.9527.63
9.752.849.7510.2128.36
102.911010.4729.09
10.252.9810.2510.7329.81
10.53.0510.510.9930.54
10.753.1310.7511.2631.27
113.201111.5232.00
11.253.2711.2511.7832.72
11.53.3411.512.0433.45
11.753.4211.7512.3034.18
123.491212.5634.90
12.253.5612.2512.8335.63
12.53.6412.513.0936.36
12.753.7112.7513.3537.09
133.781313.6137.81
13.253.8513.2513.8738.54
13.53.9313.514.1339.27
13.754.0013.7514.4039.99
144.071414.6640.72
14.254.1414.2514.9241.45
14.54.2214.515.1842.18
14.754.2914.7515.4442.90
154.361515.7143.63
15.254.4415.2515.9744.36
15.54.5115.516.2345.08
15.754.5815.7516.4945.81
164.651616.7546.54
16.254.7316.2517.0147.27
16.54.8016.517.2847.99
16.754.8716.7517.5448.72
174.941717.8049.45
17.255.0217.2518.0650.17
17.55.0917.518.3250.90
17.755.1617.7518.5851.63
185.241818.8552.36
18.255.3118.2519.1153.08
18.55.3818.519.3753.81
18.755.4518.7519.6354.54
195.531919.8955.26
19.255.6019.2520.1555.99
19.55.6719.520.4256.72
19.755.7419.7520.6857.45
205.822020.9458.17
20.255.8920.2521.2058.90
20.55.9620.521.4659.63
20.756.0420.7521.7360.35
216.112121.9961.08
21.256.1821.2522.2561.81
21.56.2521.522.5162.54
21.756.3321.7522.7763.26
226.402223.0363.99
22.256.4722.2523.3064.72
22.56.5422.523.5665.45
22.756.6222.7523.8266.17
236.692324.0866.90
23.256.7623.2524.3467.63
23.56.8423.524.6068.35
23.756.9123.7524.8769.08
246.982425.1369.81
24.257.0524.2525.3970.54
24.57.1324.525.6571.26
24.757.2024.7525.9171.99
257.272526.1872.72
25.257.3425.2526.4473.44
25.57.4225.526.7074.17
25.757.4925.7526.9674.90
267.562627.2275.63
26.257.6426.2527.4876.35
26.57.7126.527.7577.08
26.757.7826.7528.0177.81
277.852728.2778.53
27.257.9327.2528.5379.26
27.58.0027.528.7979.99
27.758.0727.7529.0580.72
288.142829.3281.44
28.258.2228.2529.5882.17
28.58.2928.529.8482.90
28.758.3628.7530.1083.62
298.442930.3684.35
29.258.5129.2530.6285.08
29.58.5829.530.8985.81
29.758.6529.7531.1586.53
308.733031.4187.26
30.258.8030.2531.6787.99
30.58.8730.531.9388.71
30.758.9430.7532.2089.44
319.023132.4690.17
31.259.0931.2532.7290.90
31.59.1631.532.9891.62
31.759.2431.7533.2492.35
329.313233.5093.08
32.259.3832.2533.7793.80
32.59.4532.534.0394.53
32.759.5332.7534.2995.26
339.603334.5595.99
33.259.6733.2534.8196.71
33.59.7433.535.0797.44
33.759.8233.7535.3498.17
349.893435.6098.89
34.259.9634.2535.8699.62
34.510.0334.536.12100.35
34.7510.1134.7536.38101.08
3510.183536.65101.80
35.2510.2535.2536.91102.53
35.510.3335.537.17103.26
35.7510.4035.7537.43103.98
3610.473637.69104.71
36.2510.5436.2537.95105.44
36.510.6236.538.22106.17
36.7510.6936.7538.48106.89
3710.763738.74107.62
37.2510.8337.2539.00108.35
37.510.9137.539.26109.08
37.7510.9837.7539.52109.80
3811.053839.79110.53
38.2511.1338.2540.05111.26
38.511.2038.540.31111.98
38.7511.2738.7540.57112.71
3911.343940.83113.44
39.2511.4239.2541.09114.17
39.511.4939.541.36114.89
39.7511.5639.7541.62115.62
4011.634041.88116.35
40.2511.7140.2542.14117.07
40.511.7840.542.40117.80
40.7511.8540.7542.67118.53
4111.934142.93119.26
41.2512.0041.2543.19119.98
41.512.0741.543.45120.71
41.7512.1441.7543.71121.44
4212.224243.97122.16
42.2512.2942.2544.24122.89
42.512.3642.544.50123.62
42.7512.4342.7544.76124.35
4312.514345.02125.07
43.2512.5843.2545.28125.80
43.512.6543.545.54126.53
43.7512.7343.7545.81127.25
4412.804446.07127.98
44.2512.8744.2546.33128.71
44.512.9444.546.59129.44
44.7513.0244.7546.85130.16
4513.094547.12130.89
45.2513.1645.2547.38131.62
45.513.2345.547.64132.34
45.7513.3145.7547.90133.07
4613.384648.16133.80
46.2513.4546.2548.42134.53
46.513.5346.548.69135.25
46.7513.6046.7548.95135.98
4713.674749.21136.71
47.2513.7447.2549.47137.43
47.513.8247.549.73138.16
47.7513.8947.7549.99138.89
4813.964850.26139.62
48.2514.0348.2550.52140.34
48.514.1148.550.78141.07
48.7514.1848.7551.04141.80
4914.254951.30142.52
49.2514.3349.2551.56143.25
49.514.4049.551.83143.98
49.7514.4749.7552.09144.71
5014.545052.35145.43

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About Ryan Cleckner

Ryan is a former special operations sniper (1/75 Ranger) and current firearms attorney, firearms industry executive, university lecturer, and bestselling author of the Long Range Shooting Handbook.

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8 COMMENTS

  1. This is the best explanation of MOA I have ever read. I was having some trouble with MOA until I stumbled on your explanation, video and book Thank you very much.

  2. This is more of a question about your great video. You said that the 308 will drop a bullet at the following distance- 200 yards 4 inches, 300 15, 400 32, 500 60. When you do scope adjustment do you need to know the bullet drop to do MOA?

  3. This was a great training aid. Quick question, if I’m zeroed in at 100 yards. Would it still be 2″ at 200 yards? Or would it now be 1″? I normally set my scope where I’m shooting 1″ high at 100yards. And it tends to be dead on at 200 yds. Asking because I hunt a farm where there are multiple distances and most times you haven’t the time to adjust your MOA. So I tend to aim high insted of adjusting my elevation. I guess what I’m getting at, if I’m zeroed in at 100 yards and if I had to make a shot at 400 yards would my MOA now be 3″ or would it still be a 4″ adjustment. Thank you Bud.

    1. I’m happy to have helped.

      However, I may not have explained it well.

      MOA is just a unit of measurement and it is not tied to any particular cartridge or rifle. For example, in your question about “what you MOA would be” at 400 yards, there’s no answer for that without knowing your cartridge’s ballistics.

      If your bullet drops 36 inches at 400 yards (IF), then you would need to adjust up 9 MOA (36/4=9).

      Likewise with your 200 yard question. Your bullet drops however much it drops. Then, you can calculate how much MOA to adjust to compensate for that drop at a certain distance. If your bullet drops 2″ at 200 yards with a 100 yard zero, then you’d adjust up 1 MOA at 200 yards (which is 2″).

  4. Ryan,
    What will the total MOA of one bore sighting shot at 25 yds, impacting the target 3 in. left of bullseye, and then using this same target at 100yds using the previous impact shot to determine the 100yd MOA. Do I combine both MOA’s?

    1. Edward, you’ve lost me. At 25 yards, 3 inches left would mean that barrel is pointed 12 MOA left of the reticle. Without changing anything other than shooting at 100 yards, it would be 12″ to the left. At 1000 yards (with no wind or spin drift) it would be 120″ to the left.

      If the 25 yard shat was a good one, I would adjust 12 MOA right, and 4 MOA down (I want to be an inch low at 25 yards). Then, I’d shoot a group on paper at 100 yards and makes adjustments from there.

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