Golden Ratio Calculator
Result
Longer Segment161.803398875
Shorter Segment100
Total261.803398875
φ (Phi)1.6180339887
↗ Math
Golden Ratio Calculator — free online calculator.
Formula
φ = (1+√5)/2; longer = φ × shorter; total = longer + shorter. The selected solve mode identifies the given length.
- Golden Ratio Calculator calculates its result from Shorter length. It uses the formula Calculated with the verified ST Calculator runtime.. Change any input to recalculate the result instantly.
- The main inputs are Value, Solve For. 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 Ratio
Inputs
- Value: 100
- Solve For: find-longer
For shorter segment 100, longer ≈ 161.8034 and total ≈ 261.8034.
Sample result: Calculating…
Frequently asked questions
What does the Golden Ratio calculate?
Golden Ratio Calculator — free online calculator.
Which values should I enter?
Enter Value, Solve For 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; longer = φ × shorter; total = longer + shorter. The selected solve mode identifies the given length..
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.