Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

The diagram depicts a square $ABCD$ with side length $10\text{ cm}$. Point $O$ is the midpoint of $AD$, and $BXC$ is an arc of a circle centred at $O$.
(i)[2]

Show that angle $BOC$ comes out as $0.9273$ radians, correct to $4$ decimal places.

(ii)[3]

Find the total perimeter of the shaded region.

(iii)[2]

Find the area covered by the shaded region.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies the correct trigonometric relationship to determine $\angle BOC$

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