About the Golden Ratio Calculator
A golden ratio calculator based on φ = 1.6180339887. Enter a value and choose whether it is the longer segment, the shorter segment, or the whole — and instantly get the other two, all in golden proportion. Useful for design, typography, layout and photography.
How Golden Ratio works
Two lengths a (longer) and b (shorter) are in the golden ratio when (a + b) / a = a / b = φ.
Example: if the longer part is 100, the shorter is 100 ÷ 1.618 ≈ 61.8, and the whole is ≈ 161.8.
Common uses
- Find golden-ratio dimensions for layouts
- Size typography and spacing harmoniously
- Split a length into golden proportions
- Apply φ in design and photography
Frequently asked questions
What is the golden ratio?
φ = (1 + √5) / 2 ≈ 1.618, a proportion found in art, design and nature that many find aesthetically pleasing.
How do I use it in design?
Divide a space so the larger part relates to the smaller as the whole relates to the larger — a ratio of about 1.618.
What does 'whole' mode do?
It splits the total you enter into the longer and shorter golden segments.