  It has been proposed by Bekenstein and others that the horizon area of a
black hole conforms, upon quantization, to a discrete and uniformly spaced
spectrum. In this paper, we consider the area spectrum for the highly
non-trivial case of a rotating (Kerr) black hole solution. Following a prior
work by Barvinsky, Das and Kunstatter, we are able to express the area spectrum
in terms of an integer-valued quantum number and an angular-momentum operator.
Moreover, by using an analogy between the Kerr black hole and a quantum
rotator, we are able to quantize the angular-momentum sector. We find the area
spectrum to be $A_{n,J_{cl}}=8\pi\hbar(n+J_{cl}+1/2)$, where $n$ and $J_{cl}$
are both integers. The quantum number $J_{cl}$ is related to but distinct from
the eigenvalue $j$ of the angular momentum of the black hole. Actually, it
represents the ``classical'' angular momentum and, for $J_{cl}\gg 1$,
$J_{cl}\approx j$.
