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\includegraphics[max width=\textwidth, alt={}, center]{5b558b70-df50-437e-8425-47954f360765-2_618_700_431_721}
In the diagram, \(O A D C\) is a sector of a circle with centre \(O\) and radius \(3 \mathrm {~cm} . A B\) and \(C B\) are tangents to the circle and angle \(A B C = \frac { 1 } { 3 } \pi\) radians. Find, giving your answer in terms of \(\sqrt { } 3\) and \(\pi\),
- the perimeter of the shaded region,
- the area of the shaded region.