10.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{1c51b071-5cb1-4841-b031-80bde9027433-16_723_979_207_495}
\captionsetup{labelformat=empty}
\caption{Figure 4}
\end{figure}
The circle \(C\) has radius 5 and touches the \(y\)-axis at the point \(( 0,9 )\), as shown in Figure 4.
- Write down an equation for the circle \(C\), that is shown in Figure 4.
A line through the point \(P ( 8 , - 7 )\) is a tangent to the circle \(C\) at the point \(T\).
- Find the length of \(P T\).