Binoculars Range Calculator

Quick answer

The binoculars range calculator estimates the distance to an object of known size from its angular height measured with a mil-dot reticle in binoculars or a rifle scope.

Distance to the object
900
Angular height in MOA
6.875 MOA

Military and marine binoculars often have a reticle graduated in milliradians (mils). One mil covers 1 m at 1,000 m, so an object of known height that spans a certain number of mils is at a predictable distance – the “mil relation”.

How to use the Binoculars Range Calculator

  1. Object height
  2. Angular height of the object (mrad)

Results update as you type, every field has its own unit menu, and everything is calculated in your browser.

How it works

Enter the known height of the object and how many milliradians it spans in the reticle.

Inputs explained

Field What to enter
Object height Units: m, cm, mm, km, in, ft …
Angular height of the object (mrad) A number

What each result means

  • Distance to the object = [Object height]÷[Angular height of the object (mrad)]×1000
  • Angular height in MOA = [Angular height of the object (mrad)]×3.4377

Example values

How the main result changes when Object height changes and everything else stays at the example values above:

Object height (m) Distance to the object (m)
0.9 450
1.35 675
1.8 900
2.25 1,125
2.7 1,350
3.6 1,800

Formula

Distance = object height / angular height (in mrad) × 1000

Worked example

Inputs — Object height: 1.8 m; Angular height of the object (mrad): 2.
Results — Distance to the object = 900 m; Angular height in MOA = 6.875 MOA.

Key terms

Milliradian
One thousandth of a radian.

Frequently asked questions

What is a mil?

A milliradian – 1 m at 1,000 m.

How accurate is mil ranging?

Within a few percent if the object size and reading are accurate.

What are typical object sizes?

A standing person ≈ 1.8 m, a car ≈ 1.5 m high, a door ≈ 2 m.

Can I use MOA instead?

Yes – 1 mrad ≈ 3.438 MOA.

Sources

  1. OpenStax – University Physics Volume 3
  2. HyperPhysics (Georgia State University)

Cite this calculator

Speedy Calculator. (2026). Binoculars Range Calculator. Speedy Calculator. https://speedycalculator.com/calculators/physics/binoculars-range/