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MOA Calculator
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MOA Calculator

Convert between MOA, MRAD, and inches or centimeters at any distance, then turn a measured miss on paper into exact turret clicks for 1/4 MOA, 1/2 MOA, 1 MOA, and 0.1 MRAD optics.

MOA / MRAD / Inches Converter

yds
Unit System
moa
mrad
in

Type in any field and the other two update. The highlighted field is your input; linear size is computed at the distance above.

MOA and MRAD subtension reference by distance
Distance (yds)1 MOA (in)1/4 MOA Click (in)1 MRAD (in)0.1 MRAD Click (in)
250.260.070.90.09
500.520.131.80.18
1001.050.263.60.36
2002.090.527.20.72
3003.140.7910.81.08
4004.191.0514.41.44
5005.241.31181.8
6006.281.5721.62.16
8008.382.0928.82.88
100010.472.62363.6

Zeroing Click Calculator

Measured where your group landed relative to point of aim? Enter the distance, the offset, and your optic's click value to get the exact elevation and windage adjustments, with direction.

Zeroing Click Calculator

yds
Unit System

Impact was:

in
in

Enter distance and impact offset to calculate adjustments.

What a Minute of Angle Actually Is

A minute of angle (MOA) is 1/60th of one degree, an angular slice that spreads to 1.047 inches at 100 yards and grows in proportion with distance: about 2.1 inches at 200 yards, 5.2 inches at 500, and 10.5 inches at 1,000. Because it scales linearly, one number describes both your group size and your turret correction at any range. A milliradian (MRAD or MIL) is the same idea on a metric-friendly scale, spanning exactly 10 cm at 100 m and 3.6 inches at 100 yards; 1 MRAD equals 3.44 MOA.

In practice the math only comes up in two places: reading a group and dialing a correction. Score a target with our target photo scorer and it reports the group in MOA directly; measure by hand and the converter above does the same conversion. To dial, the click calculator turns that measured offset into turret clicks, and the full zeroing procedure, including printable targets and which zero distance to pick, is in the optic zeroing guide.

Once the optic is zeroed, angular units are how you hold for drop and wind. Run your load through the ballistics calculator to get drop in MOA at every distance, and the numbers it prints map one-to-one onto the turret and reticle math on this page.

Frequently Asked Questions

How do you calculate MOA?

Divide the distance you are shooting by 100, and that is roughly how many inches 1 MOA covers at that distance. At 250 yards, 250 / 100 = 2.5, so 1 MOA is about 2.5 inches. The precise figure is 1.047 inches per 100 yards, so a miss in inches converts to MOA as: inches divided by (distance in yards / 100 x 1.047). A 3 inch miss at 200 yards is 3 / (2 x 1.047) = 1.43 MOA, which is 6 clicks on a 1/4 MOA turret.

How many inches equal 1 MOA?

1 MOA equals 1.047 inches at 100 yards, and it scales linearly with distance: 2.09 inches at 200 yards, 3.14 inches at 300 yards, and 10.47 inches at 1,000 yards. For field math, the '1 inch per 100 yards' shortcut is accurate to within 5 percent, which is smaller than most groups inside 300 yards.

What is 1 MOA at 50 yards in inches?

1 MOA at 50 yards is 0.52 inches. The ladder is easy to memorize: 1 MOA equals roughly 1/4 inch at 25 yards, 1/2 inch at 50 yards, 1 inch at 100 yards, 2 inches at 200 yards, and 3 inches at 300 yards. This is why a 2 MOA red dot covers about 1 inch of target at 50 yards and 2 inches at 100.

How big is 1 MOA at 400 yards?

1 MOA at 400 yards is 4.19 inches. That is four times the 1.047 inch spread at 100 yards, since MOA grows in direct proportion to distance. A rifle that shoots 1 MOA groups will therefore print roughly 4.2 inch groups at 400 yards, and a 1/4 MOA turret click moves impact about 1 inch at that range.

What is 2 MOA at 50 yards?

2 MOA at 50 yards is just over 1 inch (1.05 inches exactly). This matters for red dot shooters: a 2 MOA dot, the most common size on pistol and rifle optics, covers about an inch of your target at 50 yards. It also means a group that measures 1 inch at 50 yards is a 2 MOA group, not a 1 MOA group.

What is 1 MOA at 1 mile?

1 MOA at 1 mile (1,760 yards) is 18.4 inches. That single minute of angle covering a torso-width span is why extreme long range shooters obsess over wind calls and turret precision: a 1 MOA misjudgment that would move an impact 1 inch at a 100 yard zero check becomes a complete miss at a mile.

How to convert MRAD to MOA?

Multiply MRAD by 3.44 to get MOA (the exact ratio is 3.4377), or divide MOA by 3.44 to go the other direction. So a 0.5 MRAD adjustment is 1.7 MOA, and a 1 MOA group is 0.29 MRAD. In linear terms, 1 MRAD covers 3.6 inches at 100 yards while 1 MOA covers 1.047 inches. The converter above does this both directions at any distance.

What's better, MRAD or MOA?

Neither system is more accurate; they are two ways of measuring the same angles. MOA turrets adjust in finer steps (1/4 MOA is 0.26 inches per click at 100 yards versus 0.36 inches for 0.1 MRAD), and MOA maps neatly onto inches and yards. MRAD wins for metric ranges (0.1 MRAD is exactly 1 cm at 100 m), faster communication of big corrections, and it is the standard in precision rifle matches and military use. Pick the system your reticle uses, and make sure turrets and reticle match: a MRAD reticle with MOA turrets forces conversion math on every correction.

How much is 0.1 MRAD at 100 yards?

0.1 MRAD is 0.36 inches at 100 yards, and exactly 1 centimeter at 100 meters. That is the value of one click on a standard MRAD turret, so a correction of 5 clicks moves impact 1.8 inches at 100 yards or 5 cm at 100 meters. Doubling the distance doubles the movement: at 200 yards one 0.1 MRAD click is 0.72 inches.

Is 1 MRAD 10 clicks?

Yes, on a standard 0.1 MRAD turret, 10 clicks equal 1 full MRAD, which moves impact 3.6 inches at 100 yards or 10 cm at 100 meters. Some precision turrets adjust in 0.05 MRAD, making 1 MRAD 20 clicks. For MOA optics the equivalents are 4 clicks per MOA on a 1/4 MOA turret and 2 clicks on a 1/2 MOA turret. Check the turret cap before dialing; assuming the wrong click value scales every correction by the same error.

What is the difference between true MOA and shooter's MOA?

True MOA is 1.047 inches per 100 yards; shooter's MOA (also called SMOA or inch-per-hundred-yards) rounds that to exactly 1 inch. Inside 300 yards the 4.7 percent difference is smaller than most groups and safe to ignore. At long range it compounds: dialing a 30 MOA correction at 1,000 yards moves impact 314 inches in true MOA but 300 inches in SMOA, a 14 inch discrepancy. Nearly all quality scopes adjust in true MOA; this calculator uses true MOA throughout.

Picking an Optic to Put Clicks On?

Use the Configurator to compare optics on your build, from 2 MOA red dots to MRAD precision glass, with compatibility checked against your platform.

Launch Configurator