What is Pi ? : Diving into the Depths of 3.14 and 22/7

Published: 26 June 2023
on channel: Prof MAD
4,778
142

#pi #mathematics #22/7 #3.14

In this video, we're going to take a look at pi, one of the most mysterious and complex numbers in the world. Pi is the circumference of a circle and the diameter of a circle, and it's pretty strange that we don't know more about it...

But in this ultimate guide to pi, we're going to reveal the surprising truth about pi. We're going to show you how to calculate pi using algebra and maths, and we'll explain what 22/7 is and why it's rational or irrational. By the end of this video, you'll have a better understanding of pi and be able to use it to solve mathematical problems!

The number π (spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. The number π appears in many formulae across mathematics and physics. It is an irrational number, meaning that it cannot be expressed exactly as a ratio of two integers, although fractions such as
22/7 are commonly used to approximate it. Consequently, its decimal representation never ends, nor enters a permanently repeating pattern. It is a transcendental number, meaning that it cannot be a solution of an equation involving only sums, products, powers, and integers. The transcendence of π implies that it is impossible to solve the ancient challenge of squaring the circle with a compass and straightedge. The decimal digits of π appear to be randomly distributed,[a] but no proof of this conjecture has been found.


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