A growth of the two-dimensional boundary layer over a smooth, horizontal, circular flat plate placed in a free stream with zero pressure gradient along the surface is described and quantified in the range 6.7 x 10(4) < Re-d < 3.3 x 10(5). The boundary layer thickness, velocity profile and transition region at varying transverse distances from the plate centre line are determined. It is shown that the growth of the laminar and turbulent boundary layers closely resembles that for flow over a flat plate with a straight leading edge, but the transitional Reynolds number is lower than for the straight edged flat plate and it decreases as the distance from the plate centre line increases.