Answer:
The circumference is a irrational number
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=\pi D[/tex]
where
D is the diameter
In this problem we have that
[tex]D=d\ units[/tex] ---> is a rational number
substitute
[tex]C=\pi (d)[/tex]
[tex]C=d\pi\ units[/tex]
Remember that
The number π is a irrational number
and
If you multiply a rational number by a irrational number, the result is a irrational number
therefore
The circumference is a irrational number
