Pie=circumference of circle /
Diameter of circle
Then why pie is irrational no.
I assume you mean pi.
https://www.mathsisfun.com/irrational-numbers.html
The value of π (pi) is an irrational number because it cannot be expressed as a simple fraction or a finite decimal. An irrational number is a number that cannot be expressed as a ratio of two integers, and its decimal representation goes on infinitely without repeating patterns.
The formula you mentioned, π = Circumference / Diameter, is used to relate the measure of a circle's circumference to its diameter. This formula applies to all circles, regardless of their size. However, it doesn't explain why π is irrational.
One of the earliest mathematical approximations of π is the fraction 22/7, which is a reasonable approximation but not exact. In reality, π is an infinite decimal that starts with 3.14159 and continues indefinitely without any pattern. It has been proven mathematically that no fraction or finite decimal can accurately represent the value of π.
There are various methods to prove the irrationality of π, one of which is the proof by contradiction. This proof assumes that π is rational, meaning it can be expressed as a fraction, and then reaches a contradiction. This contradiction proves that π cannot be a rational number, making it irrational.
In summary, π is an irrational number because it cannot be expressed as a simple fraction or a finite decimal. Although the formula π = Circumference / Diameter is true, it does not explain why π is irrational. The irrationality of π has been mathematically proven through various methods, demonstrating that it cannot be fully expressed by any finite number.