Two runners are racing around a circular track with a $30$ m radius. Both runners start at rest with runner B starting $0\mathrm{.}8$ radians behind runner A$.$ Both runners start running at the same moment. Runner A accelerates at $0\mathrm{.}04$ rad$/$sec$2$ to a max angular speed of $0\mathrm{.}12$ rad$/$sec$.$ Runner B accelerates at $0\mathrm{.}03$ rad$/$sec$2$ to a max angular speed of $0\mathrm{.}15$ rad$/$sec$.$ Both runners maintain constant speed once reaching their maximum speed. Determine the distance in meters that B runs before catching up to A