(a)[4]
Find the perimeter of the shaded region in terms of $r$.
(b)[3]
Find the area of the shaded region in terms of $r$.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram depicts two congruent circles that overlap at points $A$ and $B$, with centres at $P$ and $Q$. Each circle has radius $r$, and the separation $PQ$ is $\frac{5}{3}r$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies the cosine rule to obtain $\angle APQ=\cos^{-1}\left(\frac{5}{6}\right)$” …
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