Because the images become so much less blurred at higher frequencies
there is an ongoing race to measure the size of Sagittarius A* at the
highest frequencies possible. Recently Sagittarius A* was observed at
86 and 215 GHz which has yielded the smallest size ever
observed. Below you can see how the size of Sagittarius A* decreases
with frequency (here wavelength is plotted which is inversely
proportional to frequency: higher frequencies correspond to lower
wavelengths). The size is given as milli-arcseconds (mas) of the
angular size on the sky. At 0.1 mas the actual size of the source is
still a hundred million kilometers. However, the expected visible size
of the black hole - its shadow (roughly 5 times the Schwarzschild
radius, see next slides) - is already 40 million kilometers, hence we
already observe a region that is very close to the actual black hole.
(Figure: The size of Sagittarius A* as measured with VLBI at different wavelengths of the observed radiation, courtesy of T. Krichbaum)