(i)[3]
Calculate the length of arc $DC$.
(ii)[4]
Find the value of $\dfrac{\text{area of region } P}{\text{area of region } Q}$, with your answer stated correct to 3 significant figures.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram depicts a semicircle with centre $O$ and radius $6\text{ cm}$. Radius $OC$ is at right angles to the diameter $AB$. Point $D$ is on $AB$, and $DC$ is an arc from a circle centred at $B$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct approach to the radius, for example Pythagoras leading to $r=\sqrt{72}=6\sqrt2$.” …
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