Golden Ratio Calculator

The “Golden Ratio Calculator” is a web tool that allows users to calculate various values based on the golden ratio. Users can input segment values (Segment A and Segment B) or the sum of segments (Sum A+B), and the tool calculates and displays the corresponding results.

Golden Ratio Calculator

Golden Ratio Calculator Tool

Result:

How to Solve the Parts of a Golden Ratio

To solve the parts of a golden ratio, you need to understand the relationship between the parts and the golden ratio itself. The golden ratio is a mathematical constant, denoted by the Greek letter φ (phi), which is approximately equal to 1.6180339887.

Here’s how you can solve the parts of a golden ratio:

  1. Given Segment A:
    • Multiply Segment A by the golden ratio (φ) to find Segment B.
    • Segment B = Segment A * φ.
  2. Given Segment B:
    • Divide Segment B by the golden ratio (φ) to find Segment A.
    • Segment A = Segment B / φ.
  3. Given the Sum of Segments (A + B):
    • Divide the sum by the golden ratio plus 1 (φ + 1) to find Segment A.
    • Segment A = Sum of Segments / (φ + 1).
    • Multiply Segment A by the golden ratio (φ) to find Segment B.
    • Segment B = Segment A * φ.

These formulas utilize the properties of the golden ratio to calculate the corresponding segments. Remember to use the approximate value of φ (1.6180339887) for accurate results.

By applying these formulas, you can determine the values of Segment A, Segment B, or the sum of segments in relation to the golden ratio.