An Implication for a very long-term AGN variability --- What can we learn from our Galactic Center? --- Y. Maeda,$^1$ F. K. Baganoff,$^2$ E. D. Feigelson,$^1$ M. W. Bautz,$^2$ W. N. Brandt,$^1$ D. N. Burrows,$^1$ J. P. Doty,$^2$ G. P. Garmire,$^1$ M. Morris,$^3$, S. H. Pravdo,$^4$, G. R. Ricker,$^2$ L. K. Townsley$^1$ $^1$ Department of Astronomy and Astrophysics, 525 Davey Laboratory, The Pennsylvania State University, University Park, PA 16802-6305, U.S.A.\newline $^2$ Massachusetts Institute of Technology, Center for Space Research, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, U.S.A.\newline $^3$ Division of Astronomy, Box 951562, UCLA, Los Angeles, CA 90095-1562, U.S.A.\newline $^4$ Jet Propulsion Laboratory, MS 306-438, 4800 Oak Grove Drive, Pasadena, CA 91109, U.S.A. With Chandra, we studied the X-ray emission from the shell-like, non-thermal radio source Sgr~A East (SNR~! 000.0$ $00.0) and found that Sgr~A East is an old supernova remnant (SNR), most likely to be located very near the central massive blackhole at Sgr A*. A comparison with the radio observations requires the dense ambient medium to be ionized, but a luminous X-ray irradiator with an expected X-ray luminosity of $\sim 10^{40}$ ergs~s$^{-1}$ is not currently present. The presence of the ionized gas may be explained by the past AGN activity scenario by Koyama et al. (1996) that Sgr~A* was bright in X-rays about three hundred years ago, but is presently dim. It is possible that the dust/molecular ridge compressed by the forward shock of Sgr~A East hit Sgr~A* in the past, and the passage of the ridge may have supplied material to accrete onto the black~hole in the past, and may have removed material from the black hole vicinity, leading to its present quiescent state. This may be a specific example to indicate the recurrecy of AGN activities. In this paper, we briefly discuss the possibility to detect the AGN variability in galaxies regulated by a SNR using an all-sky monitor detector such as MAXI.