Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram represents rhombus $ABCD$. Points $P$ and $Q$ are located on diagonal $AC$ so that $BPD$ is an arc of a circle with centre $C$ and $BQD$ is an arc of a circle with centre $A$. Each side of the rhombus measures $5\text{ cm}$ and angle $BAD = 1.2$ radians.
(i)[4]

Determine the area of shaded region $BPDQ$.

(ii)[4]

Determine the length of $PQ$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate trapezium-rule setup

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