SG. 2 On the coordinate plane, there are $T$ points $(x, y)$, where $x, y$ are integers, satisfying $x^{2}+y^{2}<10$, find the value of $T$. (Reference: $\mathbf{2 0 0 2}$ FI4.3)
$T=$ number of integral points inside the circle $x^{2}+y^{2}=10$.
We first count the number of integral points in the first quadrant:
$$
\begin{array}{l}
x=1 ; y=1,2 \\
x=2 ; y=1,2
\end{array}
$$

Next, the number of integral points on the $x$-axis and $y$-axis
$$
\begin{array}{l}
=3+3+3+3+1=13 \\
T=4 \times 4+3+3+3+3+1 \\
\quad=29
\end{array}
$$