Mathematics 4024 · O Level · Circles, arcs and sectors

Circles, arcs and sectors — practice question

The figure presents a sector of a circle with radius $8\text{ cm}$ and central angle $70^\circ$.
(a)[4]

Calculate the area of the shaded region.

(b(i))[3]

Show that the chocolate fits inside the box.

(b(ii))[2]

The boxes are to be arranged in cartons shaped as a cuboid. Each carton measures $48\text{ cm}$ by $4x\text{ cm}$ by $24\text{ cm}$. Determine the largest number of boxes that can be placed in one carton.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: $9.025$-$9.03$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI