Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram depicts sector $AOB$, which is a part of a circle centred at $O$ with radius $6\,\text{cm}$ and with angle $AOB = 0.8$ radians. Point $C$ on $OB$ is chosen so that $AC$ is perpendicular to $OB$. Arc $CD$ is part of a circle with centre $O$, and $D$ lies on $OA$.
(main)[6]

Work out the area of the shaded region.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Uses trigonometry to obtain $OC=6\cos0.8=4.18$

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