(i)[2]
Find the value of $OA$ correct to 4 significant figures.
(ii)[2]
Find the perimeter around the shaded region.
(iii)[4]
Find the area enclosed by the shaded region.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The figure shows sector $OAC$ in a circle centred at $O$. Tangents $AB$ and $CB$ to the circle intersect at $B$. Arc $AC$ measures $6\text{ cm}$, and angle $AOC=\frac{3}{8}\pi$ radians.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correctly applies the arc length relation $OA\times \frac{3\pi}{8}=6$” …
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