(i)[2]
Show that the radius of arc $CED$ is $3.73\text{ cm}$, accurate to $3$ significant figures.
(ii)[4]
Find the shaded region's area.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram depicts the major arc $AB$ of a circle centred at $O$ with radius $6\text{ cm}$. The points $C$ and $D$ lie on $OA$ and $OB$ respectively, and the line $AB$ is tangent at $E$ to the arc $CED$ of a smaller circle that is also centred at $O$. Angle $COD = 1.8$ radians.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use trigonometry, for example $\cos0.9=\frac{OE}{6}$ or $\sin(\frac{\pi}{2}-0.9)$” …
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