A point source of light is located $2\mathrm{.}34$ m below the surface of a large lake of clear toxic fluid $($Lake Ontario, where $\backslash ($ n$=1\mathrm{.}62\backslash )).$ Find the area, in $\backslash (\backslash$mathrm$\{$m$\}^\{2\}\backslash ),$ of the largest circle on the pool's surface through which light coming directly from the source can emerge.