How come that pi (π) extends its decimal numbers infinitely?

Question

Is there any explanation behind this?

In: Mathematics

Answer 1

If you want to find a reason why

Area of a Circle = πr^2

π=r^2/Area of a Circle

And there are no two numbers A and B such that A^2 and B are integers and B is the area of a circle with radius A

Answer 2

Mathematician here: Pi is an irrational number, that means it can do whatever the hell it wants

Answer 3

There are more irrational numbers than there are rational ones. sheer statistical probability says that any random number that happens to be mathematically significant like pi or e is more likely to be irrational. And when I say “more likely” I mean the chances of it being rational is about one in infinity.