We present 7 mm Very Long Baseline Array observations of the compact n
onthermal radio source in the Galactic center; Sagittarius A. These o
bservations confirm the hypothesis that the image of Sgr A:: is a res
olved elliptical Gaussian caused by the scattering of an intervening t
hermal plasma. The measured major axis of Sgr A is 0.76 +/- 0.04 mas,
consistent with the predicted scattering size of 0.67 +/- 0.03. We fi
nd an axial ratio of 0.73 +/- 0.10 and a position angle of 77 degrees.
0 +/- 7 degrees.4. These results are fully consistent with VLBI observ
ations at longer wavelengths and at 3 mm. We find no evidence for any
additional compact structure to a limit of 35 mJy. The underlying radi
o source must be smaller than 4.1 AU for a Galactocentric distance of
8.5 kpc. This result is consistent with the conclusion that the radio
emission from Sgr A results from synchrotron or cyclo-synchrotron rad
iation of gas in the vicinity of a black hole with a mass near 10(6) M
o-..