Triangle with additional point or sector

A question is this type if and only if it involves a triangle where after initial calculations, an additional point (on a side) or a circular sector must be analyzed, requiring further calculations beyond the original triangle.

1 questions · Standard +0.3

Sort by: Default | Easiest first | Hardest first
OCR C2 Specimen Q6
9 marks Standard +0.3
\includegraphics{figure_6} The diagram shows triangle \(ABC\), in which \(AB = 3\) cm, \(AC = 5\) cm and angle \(ABC = 2.1\) radians. Calculate
  1. angle \(ACB\), giving your answer in radians, [2]
  2. the area of the triangle. [3]
An arc of a circle with centre \(A\) and radius 3 cm is drawn, cutting \(AC\) at the point \(D\).
  1. Calculate the perimeter and the area of the sector \(ABD\). [4]