5 In this question you must show detailed reasoning.
Fig. 5 shows the circle with equation \(( x - 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 10\).
The points \(( 1,0 )\) and \(( 7,0 )\) lie on the circle. The point C is the centre of the circle.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{b4e10fd2-4144-4019-bf00-070f93a2b05d-05_878_1000_685_255}
\captionsetup{labelformat=empty}
\caption{Fig. 5}
\end{figure}
Find the area of the part of the circle below the \(x\)-axis.