That's just the way it worked out. Pi is the ratio of the circumference of a circle to its diameter, and it just worked out that this ratio is an irrational number.
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(pi) itself is an irrational number. The only multiples of it that can be rational are (pi) x (a rational number/pi) .
Pi is irrational.
No, it is not.
No. pi/2 is a fraction but, since pi is irrational, so it pi/2.
Sometimes. The number '4' is real and rational. The number 'pi' is real but not rational.