📐 Golden Ratio Calculator
Calculate golden ratio for design
Input
Results
Longer Side (base value × φ)
161.8
Shorter Side (base value ÷ φ)
61.8
Golden Ratio (φ)
1.618
Note
Features
This tool automatically calculates the longer and shorter sides from your base value using the golden ratio (φ ≈ 1.618). Adjust decimal places freely and copy results with one click.
How to Use
Simply enter a base value to instantly see the longer side (base × φ) and shorter side (base ÷ φ). Decimal places can be adjusted from 0 to 6.
Use Cases
Perfect for web design layouts, logo and business card sizing, photo cropping ratios, furniture and room arrangements, and art composition—anywhere you need beautiful proportions.
FAQ
Q: What is the golden ratio? A: A ratio of approximately 1.618, known as 'the most beautiful proportion' since ancient Greece. Q: Why is it called φ (phi)? A: Named after the Greek sculptor Phidias. Q: What's the difference between the golden ratio and silver ratio? A: The golden ratio is about 1:1.618, while the silver ratio is about 1:1.414 (√2). The silver ratio is used in A4 paper sizing. Q: Tips for using the golden ratio in design? A: Apply it to layout widths, heights, and margins to create natural, beautiful balance.
Tips
The golden ratio appears throughout nature—in sunflower seed arrangements, nautilus shells, and human body proportions. It's also said to be used in logos by Apple and Twitter. The Parthenon in ancient Greece and the Egyptian pyramids are believed to incorporate the golden ratio, and Leonardo da Vinci's 'Mona Lisa' and 'The Last Supper' show golden ratio compositions. The Fibonacci sequence (1, 1, 2, 3, 5, 8, 13...) approaches the golden ratio as numbers get larger. Some research suggests that Beethoven's Symphony No. 5 and Debussy's works also use the golden ratio in their musical structures.