Enter the focal length (mm) and the aperture (mm^2) into the Focal Ratio Calculator. The calculator will evaluate and display the Focal Ratio. 

Focal Ratio Formula

The following formula is used to calculate the Focal Ratio. 

FR = FL / A
  • Where FR is the Focal Ratio
  • FL is the focal length (mm) 
  • A is the aperture (mm^2) 

To calculate the focal ratio, divide the foal length by the aperture area.

How to Calculate Focal Ratio?

The following example problems outline how to calculate Focal Ratio.

Example Problem #1:

  1. First, determine the focal length (mm).
    • The focal length (mm) is given as: 5.
  2. Next, determine the aperture (mm^2).
    • The aperture (mm^2) is provided as: 50.
  3. Finally, calculate the Focal Ratio using the equation above: 

FR = FL / A

The values given above are inserted into the equation below and the solution is calculated:

FR = 5 / 50 = .10


FAQ

What is the importance of the focal ratio in photography?

The focal ratio, often denoted as f-number or f-stop, is crucial in photography as it affects the exposure and depth of field of an image. A lower focal ratio means more light is entering the lens, which is beneficial in low-light conditions and also creates a shallower depth of field, allowing for the subject to stand out against a blurred background.

How does the focal length affect the field of view in a camera lens?

The focal length of a lens determines its angle of view, which is how much of the scene will be captured. Shorter focal lengths (wide-angle lenses) have a broader field of view, making them ideal for landscapes and architectural photography. Longer focal lengths (telephoto lenses) have a narrower field of view, which magnifies distant subjects, making them preferred for sports and wildlife photography.

Can the focal ratio of a lens be changed?

Yes, the focal ratio of a lens can be changed by adjusting its aperture. The aperture is the opening through which light enters the lens, and by changing its size, you can alter the focal ratio. This adjustment allows photographers to control the amount of light hitting the sensor, affecting exposure and depth of field in their images.