(i)[3]
the perimeter around the shaded area.
(ii)[3]
the area enclosed by the shaded region.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
In the diagram, $OADC$ is a sector of a circle with centre $O$ and radius $3\,\text{cm}$. $AB$ and $CB$ are tangents to the circle, and angle $ABC = \frac{1}{3}\pi$ radians. Find, giving your answer in terms of $\sqrt{3}$ and $\pi$,
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct trigonometric ratio used to determine $CB$ or $AB = \dfrac{3}{\tan(\pi/6)} = 3\tan(\pi/3)$.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI