Convert MOA to inches at 100 yards or any distance, convert inches to MOA, and find range from MOA, using true MOA or shooter’s MOA (IPHY).
- All Unit Converters
- MOA Calculator (Minute of Angle)
- Milliradian Distance Calculator
- Degrees to Inches Calculator
- Sight Height Calculator
- Ballistic Drop Calculator
MOA To Inches Formula
The following right-triangle formula converts true MOA to inches, with D in yards. At small angles, I โ MOA ร D ร 1.04719755 / 100. IPHY uses exactly 1 inch per 100 yards per unit.
Variables:
- I is the size of the shot group in inches; MOA is the Minute of Angle
- D is the distance to the target in yards
| MOA | Inches @ 100 yd | Inches @ 200 yd | Inches @ 300 yd | Inches @ 400 yd | Inches @ 500 yd |
|---|---|---|---|---|---|
| 0.25 | 0.262 | 0.524 | 0.785 | 1.047 | 1.309 |
| 0.5 | 0.524 | 1.047 | 1.571 | 2.094 | 2.618 |
| 0.75 | 0.785 | 1.571 | 2.356 | 3.141 | 3.926 |
| 1 | 1.047 | 2.094 | 3.141 | 4.188 | 5.235 |
| 1.25 | 1.309 | 2.618 | 3.926 | 5.235 | 6.544 |
| 1.5 | 1.571 | 3.141 | 4.712 | 6.282 | 7.853 |
| 1.75 | 1.832 | 3.664 | 5.496 | 7.327 | 9.158 |
| 2 | 2.094 | 4.188 | 6.282 | 8.376 | 10.470 |
| 2.5 | 2.618 | 5.235 | 7.853 | 10.470 | 13.088 |
| 3 | 3.141 | 6.282 | 9.423 | 12.564 | 15.705 |
| 4 | 4.188 | 8.376 | 12.564 | 16.752 | 20.940 |
| 5 | 5.235 | 10.470 | 15.705 | 20.940 | 26.175 |
| 6 | 6.282 | 12.564 | 18.846 | 25.128 | 31.410 |
| 7.5 | 7.853 | 15.705 | 23.558 | 31.410 | 39.263 |
| 8 | 8.376 | 16.752 | 25.128 | 33.504 | 41.880 |
| 9 | 9.423 | 18.846 | 28.269 | 37.692 | 47.115 |
| 10 | 10.470 | 20.940 | 31.410 | 41.880 | 52.350 |
| 12 | 12.564 | 25.128 | 37.692 | 50.256 | 62.820 |
| 15 | 15.705 | 31.410 | 47.115 | 62.820 | 78.525 |
| 20 | 20.940 | 41.880 | 62.820 | 83.760 | 104.700 |
| * Table uses the rounded small-angle coefficient 1.047 and values rounded to 3 decimals. The calculator uses the true-MOA tangent formula; small differences from this approximate table are expected. | |||||
What Does โMOA to Inchesโ Mean?
A MOA (Minute of Angle) to inches is a measurement conversion used in shooting and ballistics. It is a unit of angular measurement equal to 1/60th of one degree. In practical terms, a MOA is approximately equal to 1 inch at 100 yards, 2 inches at 200 yards, and so on. This conversion is often used to adjust rifle scopes for improved accuracy.
How to Calculate MOA To Inches?
The following steps use true MOA: I = 36 ร D ร tan(MOA ร ฯ / 10800), with I in inches and D in yards.
- First, determine the Minute of Angle (MOA).
- Next, determine the distance to the target in yards (D).
- Next, use I = 36 ร D ร tan(MOA ร ฯ / 10800) to calculate the linear size in inches (I). For IPHY only, use I = IPHY ร D / 100.
- Finally, calculate the MOA To Inches.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Minute of Angle (MOA) = 3
Distance to the target in yards (D) = 500
