6
The diagram shows triangle \(A B C\), in which \(A B = 3 \mathrm {~cm} , A C = 5 \mathrm {~cm}\) and angle \(A B C = 2.1\) radians. Calculate
- angle \(A C B\), giving your answer in radians,
- the area of the triangle.
An arc of a circle with centre \(A\) and radius 3 cm is drawn, cutting \(A C\) at the point \(D\).
- Calculate the perimeter and the area of the sector \(A B D\).