Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

The diagram displays an isosceles triangle $ABC$, with $AC = 16\text{ cm}$ and $AB = BC = 10\text{ cm}$. The circular arcs $BE$ and $BD$ are centred at $A$ and $C$ respectively, and $D$ and $E$ lie on $AC$.
(i)[1]

Show that angle $BAC$ measures $0.6435$ radians, correct to 4 decimal places.

(ii)[5]

Find the shaded region’s area.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use $\cos A=\frac{8}{10}$ to obtain $A=0.6435$

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