How to use the golden ratio calculator
Compute golden rectangle dimensions. Enter longer side in the field above; the shorter side, golden ratio Ο are computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- a β Longer side
Worked example
With longer side = 10, the calculator gives shorter side β 6.18034; golden ratio Ο β 1.618034.
Frequently asked questions
What is the formula for the golden ratio calculation?
Shorter side = a / ((1+β(5)) / 2). Golden ratio Ο = (1+β(5)) / 2. Here a is longer side.
What inputs do I need for the golden ratio calculator?
You need longer side. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.