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Determine the total area of the shaded parts, and give your answer in terms of $\pi$ and $\sqrt{3}$.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram shows an equilateral triangle $ABC$ with side $2\text{ cm}$. Point $Q$ lies at the midpoint of $BC$. A circular arc with centre $A$ is tangent to $BC$ at $Q$, and it intersects $AB$ at $P$ and $AC$ at $R$.