In the diagram, OADC is a sector of a circle with centre O and radius 3 cm. AB and CB are tangents to the circle and angle ABC = \(\frac{1}{3} \pi\) radians. Find, giving your answer in terms of \(\sqrt{3}\) and \(\pi\),

(i) the perimeter of the shaded region,

(ii) the area of the shaded region.