The diagram shows a circle C with centre O and radius 3 cm. The radii OP and OQ are extended to S and R respectively so that ORS is a sector of a circle with centre O. Given that PS = 6 cm and that the area of the shaded region is equal to the area of circle C,

1. show that angle POQ = \frac{1}{4}\pi radians,
2. find the perimeter of the shaded region.