(i)[3]
Determine the length of $AD$.
(ii)[3]
Determine the area of the shaded region.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The figure depicts triangle $ABC$, which is right-angled at $A$. Angle $ABC = \frac{\pi}{5}$ radians, and $AC = 8\,\text{cm}$. Points $D$ and $E$ are located on $BC$ and $BA$ respectively. Sector $ADE$ is part of a circle with centre $A$, and $BDC$ is tangent to arc $DE$ at $D$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The right angle is selected correctly, e.g. $\frac{3\pi}{10}$ or $\frac{\pi}{5}$” …
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