The diagram shows triangle ABC in which AB is perpendicular to BC. The length of AB is

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The diagram shows triangle ABC in which AB is perpendicular to BC. The length of AB is 4cm and angle CAB is α radians. The arc DE with centre A and radius 2 cm meets AC at D and AB at E. Find, in terms of α,


i. The area of the shaded region,
ii. The perimeter of the shaded region.

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