The diagram shows sector OAB of a circle with centre O, radius 6cm and sector angle /3

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The diagram shows sector OAB of a circle with centre O, radius 6cm and sector angle π/3 radians.

The point X lies on the line OA and BX is perpendicular to OA.
a. Find the exact area of the shaded region.
b. Find the exact perimeter of the shaded region.

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