(a)[5]
Calculate the perimeter of the shaded region.
(b)[3]
Calculate the area of the shaded region.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts triangle $ABC$, where angle $B$ is a right angle. $AB$ has length $8\,\text{cm}$ and $BC$ has length $4\,\text{cm}$. Point $D$ lies on $AB$ so that $AD = 5\,\text{cm}$. The sector $DAC$ belongs to a circle with centre $D$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use trigonometry, such as $\tan BDC=\frac{4}{3}$, to determine angle $BDC$.” …
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