In the diagram the lengths of \(AB\) and \(AC\) are both 15 cm. The point \(P\) is the foot of the perpendicular from \(C\) to \(AB\). The length \(CP = 9\) cm. An arc of a circle with centre \(B\) passes through \(C\) and meets \(AB\) at \(Q\).

(a) Show that angle \(ABC = 1.25\) radians, correct to 3 significant figures.

(b) Calculate the area of the shaded region which is bounded by the arc \(CQ\) and the lines \(CP\) and \(PQ\).