Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

In the diagram, triangle $ABC$ has $AB = BC = 6\,\text{cm}$ and $\angle ABC = 1.8$ radians. The arc $CD$ is part of a circle with centre $A$, while $ABD$ is a straight line.
(a)[5]

Calculate the perimeter of the shaded region.

(b)[3]

Calculate the area of the shaded region.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use the sine or cosine rule accurately to determine $AC$” …

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