Python code to calculate Golden Ratio to 50 decimal places

Posted On February 22, 2023

The golden ratio, denoted by the Greek letter φ (phi), is a mathematical constant that is approximately equal to 1.6180339887. It is named after the golden ratio because it is commonly found in the geometric relationship between quantities that have the property of being “golden.”

You can calculate the golden ratio to a certain number of decimal places using Python as follows:

Code

print('{:.50f}'.format((1 + 5**0.5) / 2))

This will print out φ to 50 decimal places. The golden ratio can be calculated by taking the ratio of the length of a line segment divided by the longer segment to the length of the longer segment divided by the smaller segment. This is equal to (1 + √5) / 2.

Output

1.618033988749894848204586834365638117720309179