In the diagram, OAB is a sector of a circle with centre O and radius 8cm. Angle

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In the diagram, OAB is a sector of a circle with centre O and radius 8cm. Angle BOA is α radians. OAC is a semicircle with diameter OA. The area of the semicircle OAC is twice the area of the sector OAB.


i. Find α in terms of π.
ii. Find the perimeter of the complete figure in terms of .

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