The diagram shows a circle, centre \(A\), radius \(10\) cm, intersecting a circle, centre \(B\), radius \(24\) cm. The two circles intersect at the points \(P\) and \(Q\). The radii \(AP\) and \(AQ\) are tangents to the circle with centre \(B\). The radii \(BP\) and \(BQ\) are tangents to the circle with centre \(A\).

(i) Show that angle \(PAQ\) is \(2.35\) radians, correct to 3 significant figures.

(ii) Find angle \(PBQ\) in radians.

(iii) Find the perimeter of the shaded region.

(iv) Find the area of the shaded region.