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In the diagram, \(O A B\) is a sector of a circle with centre \(O\) and radius 12 cm . The lines \(A X\) and \(B X\) are tangents to the circle at \(A\) and \(B\) respectively. Angle \(A O B = \frac { 1 } { 3 } \pi\) radians.
- Find the exact length of \(A X\), giving your answer in terms of \(\sqrt { } 3\).
- Find the area of the shaded region, giving your answer in terms of \(\pi\) and \(\sqrt { } 3\).