8.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{2043b938-ed3f-4b69-9ea9-b4ab62e2a8ce-18_680_933_294_589}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{figure}
Figure 3 shows a sketch of the plan view of a platform.
The plan view of the platform consists of a sector \(D O C\) of a circle centre \(O\) joined to a sector \(A O B E A\) of a different circle, also with centre \(O\).
Given that
- angle \(A O B = 0.8\) radians
- arc length \(C D = 9 \mathrm {~m}\)
- \(D A : A O = 3 : 5\)
- show that \(A O = 7.03 \mathrm {~m}\) to 3 significant figures.
- Find the perimeter of the platform, in m , to 3 significant figures.
- Find the total area of the platform, giving your answer in \(\mathrm { m } ^ { 2 }\) to the nearest whole number.