There is provided a fiber-reinforced composite material containing fibers
having an average fiber diameter of 4 to 200 nm and a matrix material,
the composite material having a visible light transmittance of 60% or
more at a wavelength of 400 to 700 nm, which is a conversion value based
on a thickness of 50 .mu.m. A fiber-reinforced composite material
composed of a matrix material and a fiber aggregate impregnated therewith
is provided, in which when a segment length of a bright region
corresponding to a pore region of the fiber aggregate is represented by
L, which is obtained by statistical analysis of a unidirectional
run-length image formed from a binary image obtained by binarization of a
scanning electron microscopic image of the fiber aggregate, the total
length of segments that satisfy L.gtoreq.4.5 .mu.m is 30% or less of the
total analyzed length. A transparent multilayered sheet, a circuit board,
and an optical waveguide are provided which use a transparent substrate
formed from this fiber-reinforced composite material.