9709 P11 - Jun 2012 - Q3
263
In the diagram, \(ABC\) is an equilateral triangle of side \(2 \text{ cm}\). The mid-point of \(BC\) is \(Q\). An arc of a circle with centre \(A\) touches \(BC\) at \(Q\), and meets \(AB\) at \(P\) and \(AC\) at \(R\). Find the total area of the shaded regions, giving your answer in terms of \(\pi\) and \(\sqrt{3}\).
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