Mathematics 0580 · IGCSE · Circles, arcs and sectors

Circles, arcs and sectors — practice question

The figure depicts an equilateral triangle $ABC$ with each side measuring $10\text{ cm}$. $AMN$ is a sector of a circle, centred at $A$. $M$ is the midpoint of $AC$. The diagram is labelled NOT TO SCALE.
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Work out the shaded region’s area.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$\frac{1}{2}\times10\times10\times\sin60$” …

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