Mathematics 0580 · IGCSE · Compound shapes and parts of shapes

Compound shapes and parts of shapes — practice question

The diagram depicts an equilateral triangle $ABC$ whose three sides each measure $12\text{ cm}$. $ANP$ is a sector of a circle with centre $A$. Point $N$ is on $AC$ so that $AN : NC = 2 : 1$. Point $P$ is on $AB$ so that $AP : PB = 2 : 1$. This diagram is NOT TO SCALE.
(main)[4]

Determine the area of the shaded region.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The answer is $28.8$, and $28.83$ to $28.84$ is accepted as well.

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