I think arp shows your adapter's neighbors, not the adapter itself. I
only just read the man page for the first time, however, its results
when I run it seem to confirm that:
192.168.1.1 ether 00:18:4D:25:82:0D C ath0
My adapter's neighbor is, indeed,
192.168.1.1 (my router).
ifconfig, on the other hand, seems like a much better place to find
info about the device, itself. Also, the address it gives for my device
matches the sticker that the manufacturer put on my laptop. :)
-Bryan