To find the circumference of a circle given its diameter, we use the formula for the circumference [tex]\(C\)[/tex] of a circle:
[tex]\[
C = \pi \cdot d
\][/tex]
where [tex]\(d\)[/tex] is the diameter of the circle.
Given the diameter [tex]\(d = 6 \, cm\)[/tex], we can substitute this value into the formula to find the circumference:
[tex]\[
C = \pi \cdot 6 \, cm
\][/tex]
Simplifying this, we have:
[tex]\[
C = 6 \pi \, cm
\][/tex]
So, the circumference of a circle with a diameter of 6 cm is [tex]\(6 \pi \, cm\)[/tex].
The correct answer is:
[tex]\[
6 \pi \, cm
\][/tex]