The line segment AC would be the diameter of the circle, but in order to solve for it, since its the hypotenuse of a right triangle, we need to use the pythagorean theorem.
a²+b²=c² 6²+8²=c² 36+64=c² 100=c² √100=c 10=c
So line segment AC is 10 units long. The diameter is 10 units long. Now we can solve for the circumference
C=πd C=10π
Since they asked for the EXACT circumference, we can stop here.