Arc \(AC\)is a quarter-circle with center \(B \). The shaded region \(ABC\) is "rolled" along a straight board \(PQ\) until it reaches its original orientation for the first time with point \(B \) landing at point \(B'\). If \(BC = 2/\pi \) cm, what is the length of the path that point \(B \) travels? Express your answer in simplest form.
