Mathematics 9709 · AS & A Level · Circular measure

Circular measure — practice question

The diagram depicts arc $BC$ of a circle centred at $A$ with radius $5\,\text{cm}$. The arc length $BC$ is $4\,\text{cm}$. Point $D$ is positioned so that $BD$ is perpendicular to $BA$ and $DC$ is parallel to $BA$.
(i)[1]

Determine angle $BAC$ in radians.

(ii)[5]

Determine the area of the shaded region $BDC$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Angle/result $0.8$ (or an equivalent value).

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