Recent proper motion studies of stars at the very center of the Galaxy stro
ngly suggest that Sagittarius A*, the compact nonthermal radio source at th
e Galactic center, is a 2.5 x 10(6) M. black hole. By means of near-simulta
neous multiwavelength Very Long Baseline Array measurements, we determine f
or the first time the intrinsic size and shape of Sgr A* to be 72 R-sc(star
) by less than 20 R-sc(star), with the major axis oriented essentially nort
h-south, where R-sc(star)(= 7.5 x 10(11) cm) is the Schwarzschild radius fo
r a 2.5 x 10(6) M. black hole. Contrary to previous expectation that the in
trinsic structure of Sgr A* is observable only at lambda less than or equal
to 1 mm, we can discern the intrinsic source size at lambda = 7 mm because
(1) the scattering size along the minor axis is half that along the major
axis and (2) the near-simultaneous multiwavelength mapping of Sgr A* with t
he same interferometer makes it possible to extrapolate precisely the minor
axis scattering angle at lambda = 7 mm. The intrinsic size and shape place
direct constraints on the various emission models for Sgr A*. In particula
r, the advection-dominated accretion flow model may have to incorporate a r
adio jet in order to account for the structure of Sgr A*.