Math & Algebra Tool

Golden Ratio Calculator

Find perfectly proportioned segments using the mathematical Golden Ratio (φ).

Visual Proportion Guide

A
B
Ratio A/B ≈ 1.618Ratio (A+B)/A ≈ 1.618

φ = 1.61803398...

The ratio is exactly (1 + √5) / 2

Σ The Formula

φ = (1 + √5) / 2 ≈ 1.618

Real World Examples

Design Layout
If your sidebar is 300px, the main content should be ~485px for a 'Golden' feel.
Photography
The Golden Ratio is often used as a more precise 'Rule of Thirds' for composition.

# About This Calculator

The Golden Ratio is a special number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part.

It appears frequently in geometry, art, architecture, and even nature (like phyllotaxis in plants). It is widely considered aesthetically pleasing and harmonious to the human eye.

How To Use

  1. Enter a value in any of the three fields: **A**, **B**, or **Total**.
  2. The other two fields will automatically calculate to maintain the **1.618** ratio.
  3. **A** is the longer segment, **B** is the shorter segment.

Frequently Asked Questions

Is it the same as the Fibonacci sequence?+

Yes, the ratio of successive Fibonacci numbers (e.g., 8/5, 13/8) gets closer and closer to the Golden Ratio as the numbers get larger.

Is Golden Ratio Calculator free to use?+

Yes, Golden Ratio Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Golden Ratio Calculator?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Golden Ratio Calculator are accurate for academic and professional use.

Can I use Golden Ratio Calculator on my phone?+

Yes! Golden Ratio Calculator is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

Do you save my data?+

No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.

How do I report a bug?+

If you notice any issues with Golden Ratio Calculator or have suggestions for improvement, please contact us via the link in the footer. We value your feedback!

About

The Golden Ratio is a special number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part.

It appears frequently in geometry, art, architecture, and even nature (like phyllotaxis in plants). It is widely considered aesthetically pleasing and harmonious to the human eye.

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