Gun Accuracy Calculator

Gun Accuracy Calculator

Estimate accuracy in MOA from group size and distance.
Accuracy (MOA):
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Estimate accuracy in MOA (minutes of angle) from a measured group size and shooting distance. Use this Gun Accuracy Calculator to quickly convert physical group measurements into a standardized accuracy metric you can compare across rifles, loads, and shooting sessions.

What this Gun Accuracy Calculator calculator does

This Gun Accuracy Calculator converts a measured group size (in inches) at a given distance (in yards) into an angular accuracy measurement expressed in MOA (Minutes of Angle). MOA is a widely used unit in shooting sports and precision firearms work. By converting linear group sizes to angular units, you can compare accuracy across different ranges and conditions.

Specifically, the calculator:

  • Takes two inputs: Group size (inches) and Distance (yards).
  • Applies a standard formula to compute accuracy in MOA.
  • Outputs an easily readable result labeled “Accuracy (MOA)”.
  • Handles edge cases like non-positive distance values to avoid invalid results.

How to use the Gun Accuracy Calculator calculator

Using the Gun Accuracy Calculator is straightforward. Follow these steps:

  1. Measure the group size in inches. This is typically the extreme spread between the centers of the two furthest bullet holes in your target.
  2. Record the distance from which you fired, in yards.
  3. Enter both values into the calculator below and click “Calculate”. The result will be shown as Accuracy (MOA).

Example:

  • Group size = 1.2 in
  • Distance = 100 yds
  • Result: Accuracy ≈ the calculator output in MOA, showing how the 1.2″ group translates to angular error.





Accuracy (MOA):

How the Gun Accuracy Calculator formula works

The formula used by this Gun Accuracy Calculator is:

Accuracy (MOA) = distance_yds > 0 ? group_size_in / (1.047 * distance_yds / 100) : 0

Breaking that down:

  • group_size_in is the measured group size in inches.
  • distance_yds is the shooting distance in yards.
  • 1.047 is the conversion factor from minutes of angle to inches at 100 yards (1 MOA ≈ 1.047 inches at 100 yards).
  • The formula computes the angular size by scaling the measured linear group size to the 100-yard MOA standard, then dividing by the conversion factor.

More detail: At 100 yards, 1 MOA subtends approximately 1.047 inches. At other distances, the size in inches for 1 MOA scales linearly with distance (for example, at 200 yds, 1 MOA ≈ 2.094 inches). The formula effectively scales the group size to the 100-yard equivalent and divides by 1.047 to yield the MOA value.

Algebraically, you could write the same calculation as:

MOA = (group_size_in * 100) / (1.047 * distance_yds)

This is convenient if you prefer a single fraction form.

Use cases for the Gun Accuracy Calculator

The Gun Accuracy Calculator is useful for a variety of shooters and professionals:

  • Benchrest and precision shooters who want to quantify rifle and ammunition performance in MOA.
  • Reloaders comparing groups for load development and wanting a standardized angular metric.
  • Hunters who measure groups at different ranges and want to know how that accuracy translates to practical shooting expectations.
  • Firearms instructors and coaches who need to compare student grouping performance across varying distances.
  • Manufacturers and reviewers reporting accuracy specs that are distance-independent and comparable across platforms.

Because MOA normalizes for distance, it lets you say, for example, that a rifle produces "0.5 MOA" accuracy regardless of whether that measurement was taken at 100, 200, or another yardage—useful when comparing equipment, ammunition, or shooter performance.

Other factors to consider when calculating accuracy

While the Gun Accuracy Calculator provides a mathematical translation from group size to MOA, real-world accuracy depends on many other factors. Consider these when interpreting results:

  • Measurement method: Are you measuring center-to-center of bullet holes, edge-to-edge, or extreme spread? Use a consistent method for repeatable MOA calculations.
  • Environmental conditions: Wind, temperature, humidity, and elevation can all affect shot placement and group size.
  • Shooter skill and rest stability: Free-floating barrels, bench rest vs. offhand shooting, and shooter fatigue play large roles.
  • Ammunition consistency: Bullet, powder, seating depth, and primer quality influence group size.
  • Barrel condition and harmonics: Barrel wear, fouling, and tuning (e.g., barrel tuners) can alter group size over time.
  • Range calibration: Ensure your distance measurement is accurate. Yard-to-meter mix-ups change MOA results significantly.
  • Target and measurement precision: High-resolution targets, magnified optics, and precise calipers improve the reliability of the group size measurement.

Because of these factors, always treat a single MOA measurement as a data point. For reliable conclusions, record multiple groups under similar conditions and average results.

FAQ

What is MOA and why use it?

MOA stands for Minute of Angle. It's an angular measurement where 1 MOA ≈ 1.047 inches at 100 yards. MOA is useful because it normalizes accuracy across distances—telling you the angular precision of a firearm independent of the range.

How should I measure group size for the calculator?

Measure the center-to-center distance between the two most distant bullet holes (extreme spread). Use calipers or a precision ruler for best results and ensure measurements are in inches when using this calculator.

Can I enter meters instead of yards?

This calculator expects distance in yards. If you have meters, convert to yards first (1 meter ≈ 1.09361 yards), or use a version of the formula adapted for meters. The key is consistent units.

Why does the calculator use 1.047 in the formula?

Because 1 MOA subtends roughly 1.047 inches at 100 yards. This constant converts between inches and MOA at the 100-yard baseline used by the formula.

Is MOA the only accuracy metric I can use?

No. Another common metric is MIL (milliradian). MIL-based calculations require different conversion factors. Use the unit that best fits your optics and preference—MOA is common in the U.S., while MIL is common in military and some international contexts.

Tip: Record group size, distance, environmental conditions, and ammo type together. Over time, this data will help you separate equipment limits from situational influences and get the most value out of your Gun Accuracy Calculator.

Support this tool
Buy us a coffee
If this Gun Accuracy Calculator helped you, support the site with a small donation. It keeps the tools on the site free and supports ongoing improvements.

Buy us a coffee

Secure donation via Gumroad