Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

The diagram displays two circles, one centred at $A$ and the other at $B$, with radii $8\text{ cm}$ and $10\text{ cm}$ respectively. They meet at $C$ and $D$, where $CAD$ is a straight line and $AB$ is perpendicular to $CD$.
(i)[1]

Find angle $ABC$ in radians.

(ii)[6]

Find the area of the shaded region.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct trigonometric method used to obtain the angle, e.g. $\sin\angle ABC=\tfrac{8}{10}$

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