Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram shows $CXD$ as a semicircle with centre $A$, radius $7\,\text{cm}$ and diameter $CD$. The straight line $YABX$ is perpendicular to $CD$, while arc $CYD$ lies on a circle centred at $B$ with radius $8\,\text{cm}$.
(main)[6]

Calculate the total area of the region enclosed by the two arcs.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Determine angle $CBA=\sin^{-1}(\frac{7}{8})$ or $CBD=\cos^{-1}(-\frac{17}{32})$

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