Golden Ratio Calculator

This tool calculates two numbers that share a special balance. It uses the constant 1.618033988749895.

What Is the Golden Ratio Calculator?

The tool computes two values in a golden ratio. It accepts one value and finds the corresponding number. The golden ratio shows up in nature, art, and architecture. It gives a sense of balance and beauty.

How to Use This Tool

Step 1: Enter a positive number in the "Enter a value" field.

Step 2: Choose whether your number is the smaller number or the larger one. The first option treats your input as the smaller value. The second treats it as the larger value.

Step 3: Click the "Calculate" button or press Enter.

The tool then shows:

• The larger number (A) and the smaller number (B).
• Their total sum.
• The ratio of A divided by B, which approximates 1.618.

Understanding the Input Fields

The "Enter a value" field only accepts positive numbers. The radio buttons help you specify if your number is the smaller or larger part of the ratio.

What the Output Represents

The result box displays both values. It shows their sum and the division result that approximates 1.618. A visual golden rectangle appears below. This graphic splits the rectangle into a square (A × A) and a rectangle (B × A). It helps show how the parts fit together.

Limitations and Special Notes

The tool accepts positive numbers only. It stops working if you enter a negative number or an invalid value. The graphic may not look perfect on every screen. Use larger numbers for a clearer view.

Common Use Cases

This calculator helps students and professionals. It assists in design work, art projects, and architectural planning. The tool makes it easy to check proportions.

Try the Golden Ratio Calculator

Type in a number and choose your option. Click the button and see the result. It gives clear insights into balanced proportions.

The calculator is practical and fast. It explains the golden ratio in a clear and accurate way.