Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

The diagram shows arc $AB$ as part of a circle centred at $O$ with radius $8\text{ cm}$. Arc $BC$ belongs to a circle centred at A with radius $12\text{ cm}$, and $AOC$ lies on a straight line.
(a)[2]

Find the angle $BAO$ in radians.

(b)[4]

Find the shaded region’s area.

(c)[3]

Find the shaded region’s perimeter.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies the cosine rule

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