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Golden Rectangle Calculate golden ratio and golden rectangle dimensions.

width

Result

Golden Ratio (φ)1.6180339887
Longer Side161.8034
Length:Width1.618034:1
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Golden Rectangle Calculate golden ratio and golden rectangle dimensions. — free online calculator.

Formula

φ = (1+√5)/2 ≈ 1.6180339887; Length = Width × φ
  • Golden Rectangle Calculate golden ratio and golden rectangle dimensions. calculates its result from Width, Phi. It uses the formula φ = (1+√5)/2 ≈ 1.6180339887; Length = Width × φ. Change any input to recalculate the result instantly.
  • The main inputs are Shorter Side. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Golden Rectangle Calculate golden ratio and golden rectangle dimensions.

Inputs
  • Shorter Side: 100 width

Using Width = 2, Phi = 3, the calculated result is 6.

Sample result: Calculating…

Frequently asked questions

What does the Golden Rectangle Calculate golden ratio and golden rectangle dimensions. calculate?

Golden Rectangle Calculate golden ratio and golden rectangle dimensions. — free online calculator.

Which values should I enter?

Enter Shorter Side using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: φ = (1+√5)/2 ≈ 1.6180339887; Length = Width × φ.

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 10, 2026