Download your Word document
Golden Rectangle Calculator result sheet — free, supported by sponsors. Your download button appears in 20 seconds.
This free download is supported by sponsors — continuing in
20
Your file is generated in your browser when you choose Download — nothing is uploaded. If this calculator returns enough numeric data, the export also includes its best-fit chart alongside the readable table.
WorldCalculate result export
Golden Rectangle Calculator — result sheet
Calculate the long side, area, perimeter, and diagonal of a golden rectangle from its short side.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Long side=φs; area=φs²; perimeter=2s(1+φ); diagonal=s√(1+φ²), where φ=(1+√5)/2.
A golden rectangle has long-to-short side ratio equal to the golden ratio. The derived measurements make the proportion useful for layout, geometry exercises, and scale comparisons.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Short side — length units; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Short side | 10 |
Long side≈16.18034; area≈161.8034 square units; perimeter≈52.36068 units.
Assumptions and limits
- The rectangle is Euclidean and the entered side is the shorter positive side.
- All displayed lengths use the same unit and area uses its square.
- The ratio is a mathematical proportion, not a guarantee of visual preference.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
No saved result was found. Please run the calculation first, then choose Download again.