Mathematics 0580 · IGCSE · Compound shapes and parts of shapes

Compound shapes and parts of shapes — practice question

The diagram presents the cross section of part of a park bench. It is formed from a rectangle with length $32\text{ cm}$ and width $8\text{ cm}$, together with a curved section. The curved section is formed by two concentric arcs with sector angle $125^{\circ}$. The inner arc has radius $40\text{ cm}$ and the outer arc has radius $48\text{ cm}$. The diagram is labelled "NOT TO SCALE".
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Calculate the area of the cross section, correct to the nearest square centimetre.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct final answer is $1024$.

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