6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f953fd1c-447f-4e97-a42a-5264c053fda0-12_622_1196_251_495}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
The shape \(A O C B A\), shown in Figure 2, consists of a sector \(A O B\) of a circle centre \(O\) joined to a triangle \(B O C\).
The points \(A , O\) and \(C\) lie on a straight line with \(A O = 7.5 \mathrm {~cm}\) and \(O C = 8.5 \mathrm {~cm}\).
The size of angle \(A O B\) is 1.2 radians.
Find, in cm, the perimeter of the shape \(A O C B A\), giving your answer to one decimal place.