5.
\begin{figure}[h]
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\caption{Figure 2}
\includegraphics[alt={},max width=\textwidth]{84b2d36b-c112-4d35-84a1-bc2b707f162d-07_538_611_301_680}
\end{figure}
In Figure \(2 O A B\) is a sector of a circle radius 5 m . The chord \(A B\) is 6 m long.
- Show that \(\cos A \hat { O } B = \frac { 7 } { 25 }\).
- Hence find the angle \(A \hat { O } B\) in radians, giving your answer to 3 decimal places.
- Calculate the area of the sector \(O A B\).
- Hence calculate the shaded area.