  We study state-constraint static Hamilton-Jacobi equations in a sequence of
domains $\{\Omega_k\}_{k \in \mathbb{N}}$ in $\mathbb{R}^n$ such that $\Omega_k
\subset \Omega_{k+1}$ for all $k\in \mathbb{N}$. We obtain rates of convergence
of $u_k$, the solution to the state-constraint problem in $\Omega_k$, to $u$,
the solution to the corresponding problem in $\Omega = \bigcup_{k \in
\mathbb{N}} \Omega_k$. In many cases, the rates obtained are proven to be
optimal. Various new examples and discussions are provided at the end of the
paper.
