Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The diagram depicts a sector $ABC$ of a circle whose centre is $A$ and whose radius is $8\text{ cm}$. The sector has area $\frac{16}{3}\pi\text{ cm}^2$. Point $D$ is located on arc $BC$.
(main)[4]

Find the perimeter of segment $BCD$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Find $\theta=\frac{\pi}{6}$ using sector area $\frac12 r^2\theta=\frac{16\pi}{3}$

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