9709 P12 - Jun 2023 - Q6
231
The diagram shows a sector OAB of a circle with centre O. Angle AOB = \(\theta\) radians and \(OP = AP = x\).
(a) Show that the arc length AB is \(2x\theta \cos \theta\).
(b) Find the area of the shaded region APB in terms of \(x\) and \(\theta\).
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