Linked Questions

14 votes
5 answers
49k views

why is PI considered irrational if it can be expressed as ratio of circumference to diameter? [duplicate]

Pi = C / D (circumference / diameter) . I have read that if circumference can be expressed as an integer then diameter cannot and vice-versa, so that the ratio can never be expressed as a/b where both ...
rahul891's user avatar
  • 161
7 votes
3 answers
6k views

Why can't $\pi$ be expressed as a fraction? [duplicate]

Why can't $\pi$ be expressed as a fraction? If pi is the ratio of a circle's circumference to its diameter, why can't we simply take a circle, measure its circumference and diameter, and derive the ...
Manoj's user avatar
  • 1,757
0 votes
1 answer
554 views

how $\pi$ is irrational if it is a ratio [duplicate]

How can $\pi$ be an irrational number if it is a ratio of the circumference over the diameter? Thanks!
user105648's user avatar
2 votes
1 answer
907 views

Irrationality of $\pi$ and circumference to diameter ratio. [duplicate]

How is $\pi$ actually defined? If it is defined as the ratio of the circumference of a circle to its diameter then from this definition itself either of the circumference and diameter has to be ...
Tea is life's user avatar
0 votes
0 answers
135 views

Why is PI considered irrational if it is already defined as ratio of circumference to diameter? [duplicate]

Why is PI considered irrational if it is defined as ratio of circumference to diameter? And how do we close the value of circumference and diameter to a certain number without giving up accuracy at ...
FaizanHassan's user avatar
5 votes
0 answers
91 views

The irrationality of Pi [duplicate]

Pi is defined as circumference/diameter, but it is an irrational number. And by definition an irrational number can't be defined by a fraction. So how is it that pi is circumference/diameter and on a ...
Airdish's user avatar
  • 2,471
0 votes
0 answers
82 views

Why PI is an irrational number? [duplicate]

Since my understanding of rational number says that it can expressed as fraction of 2 integers. $Q = \frac{p}{q}$ where, $p,q$ belongs I What I don't understand is how does PI fail to qualify these ...
MIB's user avatar
  • 21
0 votes
0 answers
50 views

$π = \frac{c}{d}$ [duplicate]

We know that $π = \frac{c}{d}$, where $c$ is circumference of circle and $d$ is diameter of circle. I surprised to see $π = \frac{c}{d}$ where $π$ is an irrational number and $\frac{c}{d}$ is rational ...
Largest Prime's user avatar
-4 votes
4 answers
4k views

What makes Pi special? What really makes it Irrational? [closed]

I tried to find what makes a number $\pi$ special. $22/7$, $355/113 \approx\pi$, which is an irrational number. Why is this constant is used for defining any cyclic function? Why is it that this ...
Aura's user avatar
  • 129
2 votes
1 answer
973 views

Why is $\pi$ irrational?

I've a few questions in mind: Why is $\pi$ irrational? If it is, then how can 2 rational quantities (circumference, diameter) can produce irrational number? How are we able to determine digits of $\...
mehulmpt's user avatar
  • 326
0 votes
2 answers
96 views

Can A be proved using B when B was proved using A?

Many questions have been posted on this site about the irrationality of $\pi$; I'll be referring to one such question here. The accepted answer mentions that $\pi$ is irrational because it is the ...
Box Box Box Box's user avatar