Golden Ratio Calculator
Calculating Missing Values Using the Golden Ratio Calculator
Identifying a missing value can be complex and time-consuming. We have created the Golden Ratio Calculator to enable you to swiftly and effortlessly apply the Golden Ratio to find a missing value.
Simply enter the total length value of A and B, or alternately, enter the lengths of either A or B and click "Calculate" to find the remaining two values.
The Golden Ratio
![Golden Ratio](/i/golden-ratio.png)
Written as φ, the Greek letter phi, the Golden Ratio is an irrational value that can be found by cutting a line into two sections whereby the longer section A divided by the shorter section B is equivalent to A+B (the full length of the line) divided by A. As an equation, the Golden Ratio is written as:
A/B = (A+B)/A = 1.6180339887498948420 ...
Typically, the Golden Ratio is rounded to 1.618, a figure that has continually reappeared in numerical research and, as a result, has been renamed several times as the Golden Section, the Divine Proportion, the Golden Mean and so on.
- A/B = (A+B)/A = 1.6180339887498 ...
- A =
- B =
- A + B =
The Golden Ratio Formula
Our Golden Ratio Calculator uses the following formula to identify missing values:
φ = A/B = (A+B)/A
φ = ( 1 + √5 ) / 2 = 1.6180339887498948482045868 ...
You may also be interested in our Online Ratio Calculator and Aspect Ratio Calculator