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Minute of Angle Target-Size Calculator — result sheet
Convert a minute-of-angle value and viewing distance into the corresponding linear size and angular size in radians.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Angle in radians = MOA × pi/(180×60); linear size = distance × tan(angle in radians).
A minute of angle is one sixtieth of a degree. The calculator uses the exact tangent relationship rather than the small-angle shortcut, then reports the implied size at the entered distance.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Angular size — MOA; minimum 0; maximum 1000000
- Distance — m; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Angular size | 1 |
| Distance | 100 |
1 MOA at 100 m spans ≈ 0.02909 m, or 2.9089 cm.
Assumptions and limits
- The angle is a positive geometric angle and the distance is measured from the observer to the target plane.
- The result is a line-of-sight angular-size conversion, not an accuracy, dispersion, or equipment recommendation.
- Atmospheric refraction, target depth, sight height, and instrument calibration are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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