Two circular jogging tracks have radii 30m and 45m respectively. On each track, a portion of the boundary is painted so that the painted arc on both tracks has the same length of 60m.
(i) Without carrying out any numerical calculation, predict which track will subtend the larger central angle and justify your prediction using the definition of radian.
(ii) Verify your prediction by calculating the exact central angle (in radians) for each track.