(a)[2]
Find the exact value for $\theta$.
(b)[3]
Find the exact area for segment $PXQ$.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram illustrates a section of a circle with centre $O$ and radius $4\text{ cm}$. The chord $PQ$ measures $4\sqrt{3}\text{ cm}$, and $POQ=\theta$ radians. Point $X$ is located on the circle.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct trig statement such as $\sin\left(\frac\theta2\right)=\frac{2\sqrt3}{4}$ or $\cos\left(\frac\theta2\right)=\frac24$ or $\cos\theta=-\frac12$” …
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