# Golden Ratio Calculator

## Calculating Missing Values Using the Golden Ratio Calculator

Identifying a missing value can be complex and time-consuming. We have created the Golden Ratio Calculator to enable you to swiftly and effortlessly apply the Golden Ratio to find a missing value.

Simply enter the total length value of A and B, or alternately, enter the lengths of either A or B and click "Calculate" to find the remaining two values.

## The Golden Ratio

Written as φ, the Greek letter phi, the Golden Ratio is an irrational value that can be found by cutting a line into two sections whereby the longer section A divided by the shorter section B is equivalent to A+B (the full length of the line) divided by A. As an equation, the Golden Ratio is written as:

A/B = (A+B)/A = 1.6180339887498948420 ...

Typically, the Golden Ratio is rounded to 1.618, a figure that has continually reappeared in numerical research and, as a result, has been renamed several times as the Golden Section, the Divine Proportion, the Golden Mean and so on.

## The Golden Ratio Formula

Our Golden Ratio Calculator uses the following formula to identify missing values:

φ = A/B = (A+B)/A

φ = (  1 +  √5 ) / 2 = 1.6180339887498948482045868 ...

You may also be interested in our Online Ratio Calculator and Aspect Ratio Calculator

Golden Ratio Calculator

Enter only one value in any of the fields below:

You may set the number of decimal places in the online calculator. By default there are only two decimal places.

Results
• A/B = (A+B)/A = 1.6180339887498 ...
• A =
• B =
• A + B =
A
/
B
=
A + B
/
A
/
=
/

## Calculating Missing Values Using the Golden Ratio Calculator

Identifying a missing value can be complex and time-consuming. We have created the Golden Ratio Calculator to enable you to swiftly and effortlessly apply the Golden Ratio to find a missing value.

Simply enter the total length value of A and B, or alternately, enter the lengths of either A or B and click "Calculate" to find the remaining two values.

## The Golden Ratio

Written as φ, the Greek letter phi, the Golden Ratio is an irrational value that can be found by cutting a line into two sections whereby the longer section A divided by the shorter section B is equivalent to A+B (the full length of the line) divided by A. As an equation, the Golden Ratio is written as:

A/B = (A+B)/A = 1.6180339887498948420 ...

Typically, the Golden Ratio is rounded to 1.618, a figure that has continually reappeared in numerical research and, as a result, has been renamed several times as the Golden Section, the Divine Proportion, the Golden Mean and so on.

## The Golden Ratio Formula

Our Golden Ratio Calculator uses the following formula to identify missing values:

φ = A/B = (A+B)/A

φ = (  1 +  √5 ) / 2 = 1.6180339887498948482045868 ...

You may also be interested in our Online Ratio Calculator and Aspect Ratio Calculator

### Enquire now

Give us a call or fill in the form below and we will contact you. We endeavor to answer all inquiries within 24 hours on business days.