MOA & MRAD: Reading Your Adjustments

You fire your first three-shot group at 100 yards. The cluster lands 2 inches left and 3 inches high of the bullseye. Your scope has turrets — a horizontal one for windage, a vertical one for elevation. You know you need to turn them, but which way? How many clicks? This lesson gives you the arithmetic that turns a miss into a fixed zero, every time.

Quick recall

From Iron Sights vs. Optics — why does a magnified scope make it easier to aim precisely than open iron sights?

From Iron Sights vs. Optics — why does a magnified scope make it easier to aim precisely than open iron sights?

The scope puts the reticle and target in the same focal plane, so the eye focuses on one thing A scope is heavier, so the rifle is steadier Magnification makes the target larger so you can aim at a bigger spot

Check answer

What “angular” means — and why it matters

A scope adjustment is an angle, not a fixed distance. The turret moves the reticle by a tiny angle; at 100 yards that angle equals a certain distance. At 200 yards, the same angle equals twice the distance. At 50 yards, half. The unit most US hunting scopes use for that angle is the Minute of Angle (MOA).

One full degree divides into 60 minutes. One MOA is 1/60th of a degree — a very small angle. Projected onto a target:

• At 100 yards: 1 MOA ≈ 1.047 inches (hunters round it to 1 inch)
• At 200 yards: 1 MOA ≈ 2 inches
• At 300 yards: 1 MOA ≈ 3 inches

The pattern is clean: MOA value in inches ≈ range in hundreds of yards. A 5-inch error at 300 yards is about 1.7 MOA (5 ÷ 3).

The why Why exactly 1.047, and why we round it

The true value comes from trigonometry: 1/(60 × 360) of the circumference of a 100-yard circle. The circumference of a circle with radius 100 yards (3,600 inches) is about 22,619 inches, divided by 21,600 arc-minutes gives 1.0472 inches per MOA. Rounding to 1 inch introduces a 4.7% error — small enough to ignore for all hunting applications. The handful of competitive precision shooters who need the exact value call their system “IPHY” (inches per hundred yards) and leave MOA to the hunters.

How turret clicks work — MOA scopes

Most hunting scopes are marked 1/4 MOA per click. That means each click of the turret moves the point of impact:

• At 100 yards: 0.25 inch per click
• At 200 yards: 0.50 inch per click
• At 300 yards: 0.75 inch per click

Formula for a 1/4 MOA scope at 100 yards:

Clicks needed = (inches of miss) × 4

A group hitting 2 inches left at 100 yards needs 2 × 4 = 8 clicks right on the windage turret. A group hitting 3 inches high needs 3 × 4 = 12 clicks down on the elevation turret.

Most turrets are labeled U (up), D (down), R (right), L (left) or marked with arrows. Turn in the direction you want the impact to move. If your group is low, turn elevation toward U (up).

The MRAD (mil) system

The other common system is MRAD, also called “mil.” It is metric-based and favored by long-range precision shooters because the math is in multiples of 10.

• 1 mil = 10 cm at 100 meters (about 3.6 inches at 100 yards)
• 1 mil = 20 cm at 200 meters, 30 cm at 300 meters — distance multiplied directly

Most mil scopes adjust in 0.1 mil per click, which is 1 cm at 100 meters.

Formula for a 0.1 mil scope at 100 meters:

Clicks needed = (miss in cm) ÷ 1

A group hitting 5 cm left at 100 m needs 5 clicks right — the math is that clean. In inches at 100 yards: each 0.1 mil click moves impact about 0.36 inches.

Edge case Which system should I choose for a hunting rifle?

For a Piedmont hunter making shots inside 200 yards, the system matters far less than your ability to use it consistently. MOA is the US hunting standard — most ammo performance data, range equipment, and the advice you get at a gun counter will be in MOA. MRAD is mathematically elegant and preferred for precision/long-range work where you make many turret adjustments. The absolute rule: match your turrets to your reticle. An MOA turret + a mil reticle (or vice versa) requires conversion math under field conditions. Unless you have a specific reason, buy a scope where both turrets and reticle use the same system.

Converting a group to clicks — the workflow

The same five steps work for any miss, any scope system:

1. Fire a 3-shot group from a stable position at a known distance (usually 100 yards for initial zero).
2. Measure the miss — the distance from group center to the bullseye, in inches for MOA scopes or centimeters for mil scopes.
3. Calculate the clicks using the formula for your scope’s click value.
4. Dial the turrets in the direction of the miss (group low → click up; group right → click left).
5. Fire a confirmation group to verify. Only adjust turrets after a confirmed group, never after a single shot.

Group center — aim at the cluster's middle Bullseye — your intended point of impact 2 in left = 8 clicks right (1/4 MOA @ 100 yds) 3 in high = 12 clicks down (1/4 MOA @ 100 yds)

Make the fix

Knowledge check

Your group lands 1.5 inches RIGHT of center at 100 yards. Your scope is 1/4 MOA per click. How many clicks, in which direction?

Your group lands 1.5 inches RIGHT of center at 100 yards. Your scope is 1/4 MOA per click. How many clicks, in which direction?

6 clicks LEFT 6 clicks RIGHT 4 clicks LEFT 8 clicks LEFT

Check answer

Knowledge check

Your group is 4 inches LOW at 100 yards. Your scope has 1/2 MOA per click. How many clicks UP do you need?

Your group is 4 inches LOW at 100 yards. Your scope has 1/2 MOA per click. How many clicks UP do you need?

8 clicks UP 16 clicks UP 4 clicks UP 8 clicks DOWN

Check answer

Take it to the woods

Pre-zeroing math prep

0/4

Reset

• Find and record your scope's click value — look on the turret cap or in the manual (1/4 MOA, 1/2 MOA, or 0.1 mil).
• Confirm your turret system and reticle system match (both MOA or both mil).
• Print or buy a gridded target with 1-inch squares so you can measure a group's miss distance easily at the range.
• Before your zeroing session, practice the math: if your group lands 2.5 inches high and 1 inch right at 100 yards, calculate the clicks needed for your scope. Example answer for a 1/4 MOA scope: 10 clicks down, 4 clicks left.

Sources

• MOA vs. MRAD scope sighting differences: https://savagearms.com/blog/post/moa-vs-mrad-scope-sighting-differences
• MOA and click value explanation: https://www.rkguns.com/blog/hunting/a-beginner-s-guide-to-rifle-sight-adjustments.html
• MOA vs. MRAD rifle scopes comparison: https://tractoptics.com/blog/moa-vs-mrad-rifle-scopes/
• Click value and adjustment range: https://www.vectoroptics.com/Academy/How-Click-Value-and-Adjustment-Range-Affect-Rifle-Scope-Accuracy.html