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First of all you need to understand how did Pi come up.
consider a cake that you bought and then you cut it in 7(or more) diameters.
Then you take those separate "pastries" and then arrange such that it represents like a crocodile teeth.
(Trying my best to graphically represent it:)
VAVAVAVAV..
Q: Now what is a circumrence?
A: diameter times pi.
the circumfrence(C) of the circle is represented here in dots(..)
....................
:VAVAVAVAV:
``````````
so C= p*d (p=pi)
therefore, p=C/d
Hence, Pi is nothing but a ratio (that is a fraction)
And the ratio of the dots above(circumference) to the sum of the V's and A's lengths is never perfect.
Hence it is irrational.
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Why is pi a rational number?
Pi is irrational.
Is pi an irrational or a rational number?
Pi is an irrational number. A rational number is one that can be expressed as a fraction (or ratio), e.g. 1/3. There are fractions that are near Pi, for example: 22/7 = 3.142857 (PI = 3.14159265...) A closer fraction is: 355/113 = 3.14159292 However whatever fraction you have, you will never get exactly PI. Hence it is irrational See the links for proofs that pi is irrational.
Is 0.16 pie a rational number?
(pi) itself is an irrational number. The only multiples of it that can be rational are (pi) x (a rational number/pi) .
Is the set of irrational numbers closed under subtraction?
No; here's a counterexample to show that the set of irrational numbers is NOT closed under subtraction: pi - pi = 0. pi is an irrational number. If you subtract it from itself, you get zero, which is a rational number. Closure would require that the difference(answer) be an irrational number as well, which it isn't. Therefore the set of irrational numbers is NOT closed under subtraction.
Is pi a rational number?
Pi as relating to a circle is an irrational number because it can't be expressed as a fraction. It is a real number but it is not rational.No.Pi is considered an Irrational number because its decimals do not repeat or terminate, which are the requirements for a number to be rational (in addition to other things)
