Noncommutative Schwarzschild black hole and area law

Using a graphical analysis, we show that for the horizon radius r(h) greater than or similar to 4.8 root theta, the standard semiclassical Bekenstein-Hawking area law for a noncommutative Schwarzschild black hole exactly holds for all orders of theta. We also give the corrections to the area law to get the exact nature of the Bekenstein-Hawking entropy when r(h) < 4.8 root theta till the extremal point r(h) = 3.0 root theta.