Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

The diagram indicates that $AB = AC = 8$ cm, while angle $CAB = \frac{2}{7}\pi$ radians. Circular arc $BC$ is centred at $A$, circular arc $CD$ is centred at $B$, and $ABD$ lies on one straight line.
(i)[1]

Show that angle $CBD = \frac{9}{14}\pi$ radians.

(ii)[5]

Find the shaded region's perimeter.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Find $ABC=\frac{5\pi}{14}$ together with $CBD=\frac{9\pi}{14}$

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