If a circle has a circumference of 3cm, what is the distance from the center to the corner?
It's not possible to determine the distance from the center to the corner with just the information provided (the circumference of the circle).

A circle has no corners, it only has a center and a radius (or diameter). If you know either the radius or diameter of the circle, you could calculate the distance from the center to any point on the circumference.
Wow your right, circle's don't have corners! I've never realized until now
It is exciting to learn new things! To find the radius, we can use the formula:
C = 2 * pi * r
3 = 2 * 3.14 * r
r = 3 / (2 * pi)
r = 3/6.28
r = 0.47746 cm