MOA Calculator — Minute of Angle
Calculate angular displacement, converted angular measures, and equivalent sight-adjustment values from target distance and measured spread. MOA Calculator — Minute of Angle helps shooters, hunters, and precision marksmen evaluate accuracy and make sight corrections.
Highlights
- Convert measured spread and target distance into precise MOA values.
- View angular measurements in MOA, milliradians, degrees, and radians.
- Estimate equivalent spread at 100 yards and 100 meters.
- Calculate the required ¼ MOA scope adjustment clicks.
- Ideal for shooters, hunters, and precision marksmen evaluating accuracy.
Table of Contents
How MOA Calculator — Minute of Angle Works?
The calculator determines the angular size of a measured spread or offset relative to the target distance. For small shooting angles, the relationship between spread and distance is approximated by the ratio of the two values:
Here, s is the measured spread or offset and d is the target distance. The resulting angle is expressed in radians and then represented as MOA, milliradians, and degrees:
The calculator also projects the same angular value to standard reference distances and determines the number of quarter-MOA sight clicks:
| Output | Meaning |
|---|---|
| Minute of Angle | Angular displacement expressed in MOA. |
| Milliradians | The same angular displacement expressed in mils. |
| Degrees | The angle expressed in degrees. |
| Radians | The underlying mathematical angle. |
| Equivalent Spread at 100 yd | The projected spread at a 100-yard reference distance. |
| Equivalent Spread at 100 m | The projected spread at a 100-meter reference distance. |
| ¼ MOA Clicks | The corresponding number of quarter-minute sight adjustments. |
Practical Use Cases
Precision shooters can enter a group size and target distance to evaluate rifle accuracy in MOA, compare results between range sessions, and estimate the equivalent group size at standard reference distances.
Hunters can use the measured offset between the intended aim point and point of impact to determine the angular correction required for a sight or scope adjustment.
Long-range marksmen can view the result in both MOA and mils, helping them relate observed displacement to the angular scale used by their optic.
Firearms instructors can demonstrate how the same physical spread represents a smaller angle at greater distance and a larger angle at shorter distance.
Scope technicians and gunsmiths can use the quarter-MOA click result to estimate how many adjustment increments correspond to a measured point-of-impact change.
Accuracy and Limitations
The calculator is accurate for small angular displacements typical of target groups and sight corrections, using the spread-to-distance relationship and standard angular definitions. Accuracy depends on precise target-distance and spread measurements; irregular groups, sloped or nonperpendicular measurements, shooter movement, ammunition variation, and environmental effects can make the calculated angle differ from the underlying firearm or optic performance. The quarter-MOA click result is a mathematical estimate and may require rounding to match the discrete adjustment increments available on a particular sight.
Quick Examples
Example #1: 100-Yard Rifle Group
Calculate angular accuracy and scope-adjustment values for a rifle group measured at 100 yards.
Example #2: Long-Range Metric Offset
Convert a measured target offset at 500 meters into MOA, mils, degrees, and equivalent spreads.
Example #3: Short-Range Sight Correction
Determine the angular correction and quarter-MOA turret clicks for a close-range point-of-impact offset.
