7.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{0454f5f6-b5ee-40b1-bc6a-ff8aeb06a455-09_817_1029_205_484}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows \(A B C\), a sector of a circle with centre \(A\) and radius 7 cm .
Given that the size of \(\angle B A C\) is exactly 0.8 radians, find
- the length of the arc \(B C\),
- the area of the sector \(A B C\).
The point \(D\) is the mid-point of \(A C\). The region \(R\), shown shaded in Figure 1, is bounded by \(C D , D B\) and the arc \(B C\).
Find
- the perimeter of \(R\), giving your answer to 3 significant figures,
- the area of \(R\), giving your answer to 3 significant figures.