Distribution of radii for different distance bins (different colours) for stars with (a) , and (b) . Panel c: highlights the variation of the mode of the distributions with distance. The crosses indicate to approximately what distance this population of main sequence stars have published radii and luminosities. The solid grey lines and the dashed line show the results corresponding to panels a and b respectively (the latter scaled by a factor of ten). The coloured continuous lines show the results for but for narrower T_eff ranges, in order to isolate the impact of the assumptions on extinction from the FLAME filtering criteria.