Aperture Area Calculator

Quick answer

The aperture area calculator finds a lens's entrance pupil diameter and area from its focal length and f-number, and compares light-gathering with another f-stop.

Aperture diameter
17.8571
Aperture area
250.4458
Stops slower than f/1
2.971 stops

The f-number is the ratio of focal length to aperture diameter. A 50 mm lens at f/2 has a 25 mm aperture; each full stop (×√2 in f-number) halves the light. The aperture area sets how much light reaches the sensor.

How to use the Aperture Area Calculator

  1. Focal length
  2. f-number N

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

How it works

Enter the focal length and the f-number. The light ratio compares your f-number with f/1.

Inputs explained

Field What to enter
Focal length Units: mm, cm, m, in, µm
f-number N A number

What each result means

  • Aperture diameter = [Focal length]÷[f-number N]
  • Aperture area = pi×([Focal length]÷[f-number N])^2÷4
  • Stops slower than f/1 = 2×log([f-number N], 2)

Example values

How the main result changes when Focal length changes and everything else stays at the example values above:

Focal length (mm) Aperture area (mm²)
25 62.6115
37.5 140.8758
50 250.4458
62.5 391.3216
75 563.5031
100 1,001.7834

Formula

D = f / N, A = π·D²/4

Worked example

Inputs — Focal length: 50 mm; f-number N: 2.8.
Results — Aperture diameter = 17.8571 mm; Aperture area = 250.4458 mm²; Stops slower than f/1 = 2.971 stops.

Key terms

f-number
Focal length divided by aperture diameter.

Frequently asked questions

What does f/2.8 mean?

The aperture diameter is the focal length divided by 2.8.

How much more light does f/2 let in than f/2.8?

About twice as much (one stop).

Does a larger f-number mean a smaller hole?

Yes.

Why do telephoto lenses have huge front elements?

A long focal length needs a large diameter for a small f-number.

Sources

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

Cite this calculator

Speedy Calculator. (2026). Aperture Area Calculator. Speedy Calculator. https://speedycalculator.com/calculators/physics/aperture-area/