Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

A sector $ABD$ of a circle is shown, with centre $A$ and radius $10\text{ cm}$. The perpendicular bisector of $AB$ passes through $D$.
(a)[4]

Determine the perimeter of the shaded region $BCD$, with your answer correct to 1 decimal place.

(b)[2]

Determine the area of the shaded region $BCD$, with your answer correct to 1 decimal place.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Either correct $\angle CAD=\frac{\pi}{3}$ or correct $CD=5\sqrt3$

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