Let C be a plane curve and assume that κ(t) is a nonzero constant. Show that C must be a circle.
Options:
A) Yes, because a constant curvature implies a circular path.
B) No, because constant curvature does not necessarily imply circularity.
C) Yes, because non-constant curvature would result in a non-circular curve.
D) No, because a circle can have varying curvature.
