7.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{42116a65-60ec-4dff-a05e-bab529939e1e-09_408_435_262_756}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows \(A B C\), a sector of a circle of radius 6 cm with centre \(A\). Given that the size of angle \(B A C\) is 0.95 radians, find
- the length of the \(\operatorname { arc } B C\),
- the area of the sector \(A B C\).
The point \(D\) lies on the line \(A C\) and is such that \(A D = B D\). The region \(R\), shown shaded in Figure 2, is bounded by the lines \(C D , D B\) and the \(\operatorname { arc } B C\).
- Show that the length of \(A D\) is 5.16 cm to 3 significant figures.
Find
- the perimeter of \(R\),
- the area of \(R\), giving your answer to 2 significant figures.