EVERYDAY CLARITY
Golden Ratio Calculator
How do I divide a length into two parts in the golden ratio? Enter the values below to calculate the result.
Your result
large
length
small
length
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Whole (length) | Enter whole in length; use the same basis as the other measurements. |
Understanding your result
Read large (length), small (length) in the units and model stated on this page. The formula phi=(1+sqrt(5))/2 · large=whole/phi · small=whole-large defines the relationship; measurement accuracy and model applicability are separate from numerical precision.
Common mistakes
- Mixing input units or changing the physical meaning of a variable without changing the model.
Check your calculation
- Use the worked example as a known reference case, then change one input at a time and check the direction and units of the response.
Calculation checks, sources and review limits
How do I divide a length into two parts in the golden ratio?
How do I divide a length into two parts in the golden ratio? Enter the values below to calculate the result.
Common uses
- How do I divide a length into two parts in the golden ratio
How it works
phi=(1+sqrt(5))/2; large=whole/phi; small=whole-large
Worked example
Enter Whole: 10 length. Results: large: 6.180339887498948 length; small: 3.819660112501052 length.