What Is MOA? MOA vs MRAD in Plain English

MOA stands for minute of angle. It is an angular measurement shooters use for rifle accuracy, reticle marks, and scope adjustments. One MOA equals 1/60 of one degree and measures about 1.047 inches at 100 yards, which most shooters round to 1 inch per 100 yards. MRAD is the other common scope language.

I’m Matt Rice, owner of Ozark Armament. At our shop in Tigard, Oregon, I see the same problem all the time: a shooter buys an optic, reads "1/4 MOA" or "0.1 MRAD" on the turret, and then has to do math at the bench with cold fingers and a half-empty ammo box. If you are comparing AR-15 scopes and optics, this guide will help you understand what those numbers mean before you spend money.

What Is MOA?

MOA means minute of angle. A full circle has 360 degrees. Each degree has 60 minutes. One minute of angle is a very small slice of that circle, and that small angle spreads out as distance increases. That is why MOA is not a fixed inch measurement. It is an angle that turns into more inches the farther the target sits from you. SAAMI defines MOA as one sixtieth of a degree and says it subtends 1.047 inches at 100 yards. NSSF gives the same practical rule most shooters use: about 1 inch per 100 yards. So 1 MOA is about 1 inch at 100 yards, 2 inches at 200 yards, 3 inches at 300 yards, and so on. That simple shortcut is close enough for normal zeroing and range work.

That "about" matters. True MOA is 1.047 inches at 100 yards, not exactly 1 inch. At 100 or 200 yards, the difference is tiny. At 1,000 yards, it starts to matter. Most AR shooters are not losing sleep over that decimal, and neither should you unless you are logging long-range dope carefully.

Here is the quick field version:

At 50 yards, 1 MOA is about 0.5 inch.
At 100 yards, 1 MOA is about 1 inch.
At 200 yards, 1 MOA is about 2 inches.
At 300 yards, 1 MOA is about 3 inches.
At 500 yards, 1 MOA is about 5 inches.

If your group is 2 inches wide at 100 yards, that rifle and ammo combination is shooting about 2 MOA. If the same group is 2 inches wide at 200 yards, that is about 1 MOA. Same inches, different distance, different angular size.

What Is MRAD?

MRAD stands for milliradian. Shooters also call it mil, but do not confuse that with military. It is another angular measurement, just like MOA, but the math is built around tenths and thousandths instead of minutes of a degree.

One MRAD equals about 3.6 inches at 100 yards. In metric terms, one MRAD equals 10 centimeters at 100 meters. Savage Arms uses that same comparison in its MOA-vs-MRAD scope explainer, and it is the cleanest way to keep the two systems straight.

Most MRAD scopes adjust in 0.1 MRAD clicks. At 100 yards, one 0.1 MRAD click moves impact about 0.36 inch. At 200 yards, it moves about 0.72 inch. At 300 yards, it moves about 1.08 inches.

MRAD sounds more technical, but it is not magic. It is just a different ruler. If your miss is 0.6 MRAD low and your scope adjusts in 0.1 MRAD clicks, dial 6 clicks up. That is the whole trick.

MOA vs MRAD: Which Should You Choose?

MOA and MRAD both measure angles, and neither system is more accurate by itself. A rifle does not know which marks are printed on your turret. The real choice is which system lets you think faster and make fewer mistakes. Choose MOA if you naturally think in inches and yards, shoot mostly inside 300 yards, and your scope uses MOA turrets. Choose MRAD if your reticle, turret, range notes, or shooting partners call corrections in tenths. The most important rule is to match your reticle and turrets. If your reticle is MRAD but your turret adjusts in MOA, every correction turns into a conversion problem. That gets old fast. For most buyers, a matched MOA/MOA or MRAD/MRAD scope is more important than the system itself.

Choose MOA if inches feel natural

MOA works well for American shooters because the rough math lines up with inches and yards. If you are 3 inches low at 100 yards, think 3 MOA. If you are 6 inches low at 200 yards, think 3 MOA. That is easy to do while spotting impacts on paper.

MOA also gives fine adjustments on many scopes. A 1/4 MOA click is about 0.26 inch at 100 yards. That is a small move. For careful zeroing, that precision feels nice.

Choose MRAD if your shooting world uses tenths

MRAD shines when your whole setup speaks the same language. A spotter can call "0.4 high" and you dial 4 clicks on a 0.1 MRAD turret. No inches. No yards. No calculator.

That is why MRAD is common in long-range competition and tactical-style reticles. The math is clean once you stop translating it back to inches every time.

Match your reticle and turrets

Leupold’s scope-number explainer points out that scope dials and reticles are commonly marked in MOA or MILs. Whatever you buy, keep those systems matched.

If your reticle has MOA marks, use MOA turrets. If your reticle has MRAD marks, use MRAD turrets. A mismatched optic is not unusable, but it makes every correction slower. The first time a buddy says "hold two mils" while your turret is marked in MOA, you will understand why matching matters.

Chart comparing MOA and MRAD click values at 100 yards

Scope Click Values Without the Headache

Scope clicks are just small angular adjustments. The turret marking tells you how much one click moves the point of impact.

Common click values:

1/4 MOA click: about 0.26 inch at 100 yards.
1/2 MOA click: about 0.52 inch at 100 yards.
1 MOA click: about 1.05 inches at 100 yards.
0.1 MRAD click: about 0.36 inch at 100 yards.

The formula is simple:

Figure out how many inches 1 MOA or 1 MRAD equals at your distance.
Divide your needed correction by that value.
Convert that angular correction into clicks based on your turret.

Example: you are 4 inches low at 100 yards with a 1/4 MOA scope. At 100 yards, 4 inches is about 4 MOA. A 1/4 MOA scope takes 4 clicks per MOA, so you dial 16 clicks up.

Same miss with a 1/2 MOA scope: 4 MOA times 2 clicks per MOA equals 8 clicks.

Same miss with a 0.1 MRAD scope: 4 inches divided by 3.6 inches per MRAD equals about 1.1 MRAD. At 0.1 MRAD per click, that is 11 clicks.

Real Examples at 50, 100, 200, and 300 Yards

Let’s keep this practical.

At 50 yards, your group is 2 inches low. One MOA is about 0.5 inch at that distance. Two inches divided by 0.5 inch equals 4 MOA. On a 1/4 MOA scope, dial 16 clicks up. On a 1/2 MOA scope, dial 8 clicks up.

At 100 yards, your group is 3 inches right. One MOA is about 1 inch. You need 3 MOA left. On a 1/4 MOA turret, that is 12 clicks. On a 1/2 MOA turret, that is 6 clicks.

At 200 yards, your group is 6 inches low. One MOA is about 2 inches. Six divided by 2 equals 3 MOA. On a 1/4 MOA turret, dial 12 clicks up. On a 1/2 MOA turret, dial 6 clicks up.

At 300 yards, your group is 9 inches low. One MOA is about 3 inches. Nine divided by 3 equals 3 MOA. Same angular correction as the 200-yard example, even though the inch value is bigger.

That is the part that makes the light bulb turn on. MOA and MRAD are not target-size measurements. They are angle measurements. The inches change with distance. The angle is what your optic adjusts.

How This Applies to AR-15 Scopes and Prism Optics

Most AR optic decisions are not really MOA vs MRAD decisions. They are use-case decisions.

An LPVO gives you variable magnification, usually 1x on the low end and 4x, 6x, 8x, or 10x on the high end. Our Razorback 1-6x24SFP Rifle Scope is a second focal plane LPVO with 1-6x magnification, a 24mm objective, a red/green illuminated Mil Dot reticle, and 1/2 MOA clicks. The product page also lists 4 to 3.85 inches of eye relief, 129.2 to 21.5 feet field of view at 100 yards, 1.1 lb weight, and 1000G impact resistance.

That combination means the reticle style is mil-dot, but the turret click value is MOA. For most AR range use, that is fine if you zero and dial by the turret markings. If you plan to hold and dial constantly at distance, you should know the reticle and turret are not the same measurement language.

The Razorback review corpus is small, n=9 total and n=8 scope-specific after one off-topic review. I will not pretend that is a giant data set. One verified buyer did give the kind of practical feedback that matters for zeroing: "Mounted on a Bushmaster AR and zeroed quite easily. Crisp glass." That is source_review_id 50807468.

A fixed magnified optic is different. It uses fixed magnification and an etched reticle. Our Rhino 4x Magnified Optic is a 4x32 fixed magnified optic with a BDC reticle, red/green/blue illumination, 3.5 inch eye relief, a built-in Picatinny mount, and 1/4 MOA windage and elevation adjustments. A verified buyer summed up the zeroing side neatly: "This scope mounted easily, zeroed quickly and holds zero!" That is source_review_id 77444456 from the Rhino 4x corpus, n=54.

If you are trying to understand dot size on a red dot, that is a different use of MOA. A 2 MOA or 4 MOA dot describes how much target the dot covers, not how far your turret moves per click. For that sibling topic, read what MOA means on a red dot sight. This article is about scope math, reticle marks, and adjustments.

Bottom Line

MOA is minute of angle. One MOA is about 1 inch at 100 yards. MRAD is milliradian. One MRAD is about 3.6 inches at 100 yards, and most MRAD scopes adjust in 0.1 MRAD clicks.

Pick the system you can run cleanly. If inches and yards are how you think, MOA is easy. If your reticle, turret, data card, and range partners use tenths, MRAD is fast. If you remember only one rule, remember this: match your reticle and turrets whenever you can.

For AR builds, start by choosing the optic style that fits the rifle. A red dot is fast up close, a prism gives fixed magnification and an etched reticle, and an LPVO gives you a wider range from close to mid-range. You can compare those options in our AR-15 scopes and optics collection, then choose the click system with your eyes open.

Matt Rice is the owner of Ozark Armament. He builds AR-15s, shoots 3-gun, and runs the shop out of Tigard, Oregon.

Frequently Asked Questions

Q: What is MOA?

A: MOA stands for minute of angle. It is an angular measurement used for rifle accuracy, reticle marks, and scope adjustments. One MOA is 1/60 of one degree and measures about 1.047 inches at 100 yards, which most shooters round to 1 inch per 100 yards.

Q: What is MRAD?

A: MRAD stands for milliradian. It is another angular measurement used on rifle scopes and reticles. One MRAD equals about 3.6 inches at 100 yards, and most MRAD scopes adjust in 0.1 MRAD clicks, which is about 0.36 inch at 100 yards.

Q: Is MOA or MRAD better?

A: Neither MOA nor MRAD is automatically better. MOA feels familiar if you think in inches and yards. MRAD can be faster if your reticle, range notes, and shooting partners use tenths. The bigger rule is to match your reticle and turret system.

Q: How many clicks is 1 MOA?

A: It depends on the scope. A 1/4 MOA scope takes 4 clicks for 1 MOA. A 1/2 MOA scope takes 2 clicks for 1 MOA. Always read the turret marking before you start dialing.

Q: Can you convert MOA to MRAD?

A: Yes. One MRAD is about 3.438 MOA, and one MOA is about 0.291 MRAD. The conversion works, but it is slower than using a matching reticle and turret system from the start.