Golden Ratio Calculator

Calculate the golden ratio proportions. Find the larger part, smaller part, or total length.

Golden Ratio Calculator

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Value

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Enter a value to see the golden ratio calculation.

title: Golden Ratio Calculator description: Calculate golden ratio proportions easily. Provide any one value (total, larger part, or smaller part) to find the rest.

About This Tool

The Golden Ratio Calculator helps you determine perfect mathematical proportions based on the golden ratio ( $\phi \approx 1.6180339887$ ). It is an essential tool for designers, architects, and mathematicians who want to create aesthetically pleasing layouts or solve proportional problems.

Calculate from Total Length

If you have a total width or length, you can divide it into two perfect golden ratio segments. The tool calculates both the larger part ( $A$ ) and the smaller part ( $B$ ) instantly.

Calculate from a Segment

Already have one segment size in mind? Input either the larger part or the smaller part, and the calculator will give you the remaining segment's length as well as the total combined length.

Mathematical Definition

The golden ratio is achieved when the ratio of the total length ( $A + B$ ) to the larger segment ( $A$ ) is exactly the same as the ratio of the larger segment ( $A$ ) to the smaller segment ( $B$ ).

$\frac{A + B}{A} = \frac{A}{B} = \phi$