Question

What is the number phi equal to?

Answer 1

Pi a constant which is defined as the ratio of Circumference to its diameter.

We think that Ratio of Circumference and its diameter changes with a changing radius of circle. But the ratio is constant . This constant ratio is pie.

There have been many researches on pi . Till now, Value of pi has been found up-to trillions of digits. .

For easier calculations, we take π = 22/7 or 3.14 .

But Actually π = 3.14159 and 22/7 = 3.142857 .

As both of them are nearly equivalent, 22/7 is adopted as value of π .

π is used to calculate areas, circumference of Circle. It is a irrational number .

Answer 2

Solution -

The transcendental number phi , also known as the golden ratio has a value of ( √5 + 2)/2 which is approximate equal to 1.6282....

Various properties of this number -

For any quadratic equation of the form , a² - a - 1 = 0, the positive root is phi .

From the above equation , we can show that -

• phi² = phi + 1

• 1/phi = phi - 1

Phi occurs in nature unexpectedly in several ways.

_________________________________________