Calculate facial golden ratio, vertical thirds, and feature ratios from face length, width, eye, nose, and mouth measurements in any units.

Measure both dimensions from the same view.

Ratios describe measurements. Golden-ratio and facial-canon comparisons are not validated measures of attractiveness.

Related Calculators

Facial Golden Ratio Formula

The following formula calculates the face length-to-width ratio. It may be compared with the mathematical golden ratio ฯ† โ‰ˆ 1.618034; this comparison is not a validated measure of attractiveness.

FGR = FL / FW
  • Where FGR is the Facial Golden Ratio (in/in)
  • FL is the face length (in) 
  • fW is the face width (in) 

To calculate the facial golden ratio, divide the face length in inches by the face width in inches.

How to Calculate Facial Golden Ratio?

The following example problems outline how to calculate Facial Golden Ratio.

Example Problem #1:

  1. First, determine the face length (in).
    • The face length (in) is given as 12.
  2. Next, determine the face width (in).
    • The face width (in) is provided as 8.
  3. Finally, calculate the Facial Golden Ratio using the equation above: 

FGR = FL / FW

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

FGR = 12 / 8 = 1.5 (dimensionless), about 7.29% below mathematical ฯ†. Proximity to ฯ† does not determine beauty.

Example Problem #2: 

For this problem, the variables required are provided below:

face length (in) = 10

face width (in) = 7

Test your knowledge using the equation and check your answer with the calculator above.

FGR = FL / FW = ?