Golden Ratio Calculator

Basic Calculator

• Enter just one number to create a golden ratio or,
• Enter both A and B for comparison or,
• Enter both A+B and A for comparision

A+B

Round to Decimal Places

Answer:

A = 7.416
B = 4.583
A+B = 12
A/B = 1.618
(A+B)/A = 1.618
PHI = 1.618

A + B

7.416

4.583

Representations

Ratios

A + B

Your Calculated Ratio

7.416

4.583

Related Equivalent Golden Ratios:

Larger Ratio

19.416

7.416

Smaller Ratio

7.416

4.583

2.833

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Calculator Use

Use this calculator to find values that satisfy the golden ratio where (A+B):A = A:B. Enter any ratio term to calculate the missing golden ratio values. The answer also includes two additional, equivalent sets of golden ratio terms based on the golden ratio formula.

What is the Golden Ratio

The golden ratio, also known as the golden mean, is the value phi where phi = (A+B)/A = A/B.

Golden Ratio Formulas:

For this calculator we use phi = ( 1 + sqrt(5)) / 2, which is rounded to 1.6180339887499. You can round your answers A and B to whole numbers or decimals up to 6 places.

References

An exact value for the golden ratio phi can be researched at MathWorld's Golden Ratio page.