3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f39ade34-32e2-4b5c-b80a-9663c6a65c87-04_629_1061_260_555}
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\caption{Figure 1}
\end{figure}
The shape \(P O Q A B C P\), as shown in Figure 1, consists of a triangle \(P O C\), a sector \(O Q A\) of a circle with radius 7 cm and centre \(O\), joined to a rectangle \(O A B C\).
The points \(P , O\) and \(Q\) lie on a straight line.
\(P O = 4 \mathrm {~cm} , C O = 5 \mathrm {~cm}\) and angle \(A O Q = 0.8\) radians.
- Find the length of arc \(A Q\).
- Find the size of angle \(P O C\) in radians, giving your answer to 3 decimal places.
(2) - Find the perimeter of the shape \(P O Q A B C P\), in cm , giving your answer to 2 decimal places.
(4)