(a)[2]
Show that $\angle ABC = 1.25$ radians, to $3$ significant figures.
(b)[4]
Calculate the area of the shaded region enclosed by the arc $CQ$ and the straight lines $CP$ and $PQ$.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
In the diagram, $AB$ and $AC$ each have length $15\text{ cm}$. Point $P$ is the point where the perpendicular from $C$ meets $AB$. Also, $CP = 9\text{ cm}$. A circle arc centred at $B$ passes through $C$ and cuts $AB$ at $Q$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Find $\angle ABC$ by using a suitable trigonometric or geometric method.” …
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