A particle with charge $2\mathrm{.}40$ CC and mass $3\mathrm{.}301011$ kgkg is initially traveling in the $+$y$+$y$-$direction with a speed v$0$v$0=1\mathrm{.}50105$ m$/$sm$/$s $.$ It then enters a region containing a uniform magnetic field that is directed into, and perpendicular to$,$ the page in the figure $($Figure $1).$ The magnitude of the field is $0\mathrm{.}400$ TT $.$ The region extends a distance of $25\mathrm{.}0$ cmcm along the initial direction of travel; $75\mathrm{.}0$ cmcm from the point of entry into the magnetic field region is a wall. The length of the field$-$free region is thus $50\mathrm{.}0$ cmcm$.$ When the charged particle enters the magnetic field, it follows a curved path whose radius of curvature is RR$.$ It then leaves the magnetic field after a time t$1$t$1,$ having been deflected a distance $$x$1$x$1.$ The particle then travels in the field$-$free region and strikes the wall after undergoing a total deflection $$x$$x$.$Determine the radius RR of the curved part of the path.

Express your answer in meters.