Golden ratio

This calculator determines proportions according to golden ratio. You can read about golden ration below the calculator

Golden ratio

Length

TypeLong Short Sum

Calculation precision

Digits after the decimal point: 8

Calculate

Long

 

Short

 

Sum

 

Golden ratio

 

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Golden ratio also known as the divine proportion, golden mean, or golden section is a term for dividing a segment so the long/short ratio is equal to all/long ratio.

This number is constant.
If we suppose that b is 1, a should be equal to golden ratio. Let's substitute it for x

This is square equation. The positive root of the equation is

and it is a golden ratio number

It is irrational number.

The rough approximation of golden ratio is the long part is 0,62 of all, and short part is 0,38.