Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

The diagram depicts points $A$, $C$, $B$, $P$ on the circumference of a circle whose centre is $O$ and whose radius is $3\ \text{cm}$. Angle $AOC=2.3$ radians.
(i)[1]

Find angle $AOB$ in radians, accurate to 4 significant figures.

(ii)[4]

Find the area of the shaded region $ACBP$, accurate to 3 significant figures.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct numerical value is $1.683(18\ldots)$

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