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".
(main)[5]
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 $1024$.” …