The golden ratio divides a length so the whole-to-longer ratio equals the longer-to-shorter ratio.
Golden Ratio Calculator
Form
Results
Shorter section (b)
0
Whole (a + b)
0
Table of Contents
1
What is Golden Ratio?
2
How to Use This Calculator
- Enter or select Longer section (a).
- Check the unit beside each measurement. For a percentage or rate, use the scale and time period stated in the form.
- Choose Calculate, then compare the output with the formula and example below. If you change a value or option, calculate again to update the result.
3
Formula Used
φ=(1+√5)/2 ≈ 1.618034; shorter part=longer part/φ
4
Variables Explained
| Input | What it means |
|---|---|
| Longer section (a) | Use the measured or stated value for this item, with the unit or category shown beside the field. |
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Worked Example
A longer part of 10 gives a shorter part of about 6.18034.
6
Why Use This Calculator?
Divide a length while preserving the golden-ratio relationship.
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Common Mistakes
- Check whether the input describes the whole length or only the longer section.
8
Frequently Asked Questions
Should I round numbers before calculating?
Keep the original input precision through the calculation and round the final answer to the precision you need. Rounding an intermediate result can change later steps.
Why can a manual calculation differ slightly?
Check the operation, units, signs and rounding first. Equivalent fractions or expressions can look different while representing the same value.
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Sources & References
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