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Calculators and Calculations
Home›Calculators and Calculations›How to calculate moa

How to calculate moa

By Matthew Lynch
September 17, 2023
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Introduction

Minute of Angle (MOA) is a crucial concept in the world of long-range shooting and precision marksmanship. It’s a unit of angular measurement used to express the accuracy or size of groups produced by firearms on a target, making it an invaluable tool for shooters looking to improve their skills. In this article, we’ll explain what MOA is, why it’s essential, and how to calculate it.

Understanding MOA

MOA stands for “Minute of Angle,” which is 1/60th of a degree. Given that a circle has 360 degrees, there are 21,600 minutes in a circle (360° × 60). In shooting terminology, MOA pertains to the size of an angle created between the shooter’s line of sight and the target. When expressed as inches at different distances, MOA is often used to define the precision or accuracy of rifle and scope combinations.

Why Is MOA Important?

Understanding MOA is essential for calculating bullet drop compensation and adjusting scopes for long-distance shooting accurately. It allows shooters to make precise corrections based on their shot grouping sizes related to distance variations. For example, if a shooter’s group at 100 yards is one MOA, it equates to roughly one inch. At 200 yards, that group would be expected to expand to two inches.

Calculating MOA

To calculate MOA in relation to shooting accuracy, follow these simple steps:

1. Measure your shot group size: Go downrange and measure your shot group size in inches from center-to-center of the two furthest holes.

2. Convert inches to minutes: Divide your measured shot group size by 1.0472 — 1.0472 inches represents one minute at 100 yards. This conversion factor changes slightly as yardage increases but remains accurate enough for practical applications.

Group Size (in inches) / 1.0472 = MOA

3. Adjust for distance: Since an MOA is a constant angular measurement, you must adjust it for different yardages. To convert your calculated MOA to the equivalent distance, simply multiply it by the distance (in yards) and then divide by 100:

MOA × Distance (yards) / 100 = Group Size at Distance (in inches)

4. Use MOA to improve accuracy: Knowing your rifle’s MOA allows you to evaluate its accuracy and make scope adjustments confidently. If your scope has MOA adjustments, you can use these calculations to dial in precision shots at various distances.

Remember, practice makes perfect – knowing your rifle’s MOA and continuously working on your shooting skills will help you achieve greater accuracy and consistency.

Conclusion

Understanding and calculating MOA is essential for any shooter interested in long-range precision shooting. By following the steps outlined in this article, you’ll be well on your way to mastering MOA calculations and improving your overall marksmanship capabilities. With practice and patience, you’ll be hitting tight groupings with confidence in no time!

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Matthew Lynch

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