Answer:
The circumference is an irrational number.
Step-by-step explanation:
[tex] \pi [/tex] is an irrational number, multiplying [tex] \pi [/tex] by a rational number different from 0 will give as a result an irrational number. This is because if that is not the case, then there would exist rational numbers a and b, with a different from 0, such that [tex] \pi *a = b [/tex], then [tex] \pi = \frac{b}{a} [/tex] .
Since the quotient of two rational numbers is a rational number, if b and a were rational, then [tex] \pi [/tex] should also be rational, which is not the case.
We conclude that, since the diameter is positive and rational, that the circumference cant be rational, therefore it is irrational.
