You can download the ENTIRE segment (his walk-through of The Circle, plus a bonus track of his commentary between other music) from Hath's skydrive!
Hath posted on her blog that the lovely Catte Sambora spent a lot of time ripping top quality MP3s of this, so thank both of them for making this available to us!!
Oh, and let me tell you...it's FANTASTIC. I listened to the whole thing through twice last night; Richie really makes one great DJ! But then again, I could listen to that man all night...:)