Using a graphical analysis, we show that for the horizon radius rh​≳4.8θ​, the standard semiclassical Bekenstein-Hawking area law for
noncommutative Schwarzschild black hole exactly holds for all orders of
θ. We also give the corrections to the area law to get the exact nature
of the Bekenstein-Hawking entropy when rh​<4.8θ​ till the extremal
point rh​=3.0θ​.Comment: 11 pages, 8 figures, refs. added, minor modifications, to appear in
Class. Quant. Gra