7.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{8053bd07-c2b2-4ada-ae0e-8ab6b8466c78-16_504_951_199_578}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Diagram not drawn to scale
Figure 1 shows the plan view of a design for a stage at a concert.
The stage is modelled as a sector \(B C D F\), of a circle centre \(F\), joined to two congruent triangles \(A B F\) and \(E D F\).
Given that \(A F E\) is a straight line, \(A F = F E = 10.7 \mathrm {~m} , B F = F D = 9.2 \mathrm {~m}\) and angle \(B F D = 1.82\) radians, find the perimeter of the stage, in metres, to one decimal place,
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