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In mathematics, phi represents the Golden Ratio. Two numbers are in the Golden Ratio if the ratio of the smaller to the larger number is the same as the ratio of the larger number to the sum of the two.

Thus, is a and b are the two numbers and a < b, then

if a/b = b/(a+b), the two ratios equal phi.

phi is irrational and = [1 + sqrt(5) ]/2 = 1.618034 approx.


Alternatively, phi is the positive root of the quadratic x^2 - x - 1 = 0


The ratio has aesthetically pleasing properties and has been used extensively by artists and architects. Also, the A4 family of paper as well as the B series, have sides in the phi ratio.

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Related questions

What is the number phi equal to?

The golden number? Phi = 1.61803398872...


Is Phi a whole number?

It depends on what phi is being used for. Generally, phi is used to represent the Golden Ratio, [1+ sqrt(5)]/2. In that case phi is an irrational number approximately equal to 1.6180


Why is phi an irrational number?

phi = [1+sqrt(5)]/2 sqrt(5) is irrational and so phi is irrational.


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What does the term PHI stand for?

phi is a Greek letter commonly used in math and physics. It is pronounced "fee" and seen both capitalized and in lower case. In number there is a special function denoted by phi known as the Euler Phi-function.


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What is phi in mathmaticel terms?

Phi (fie) is the number 1.618033.... it is like pi but it is totally different numbers. They both never end.


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Why the value of phi is 3.14?

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