9709 P11 - Jun 2014 - Q6
250
The diagram shows triangle ABC in which AB is perpendicular to BC. The length of AB is 4 cm and angle CAB is \(\alpha\) radians. The arc DE with centre A and radius 2 cm meets AC at D and AB at E. Find, in terms of \(\alpha\),
(i) the area of the shaded region,
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