  A theory is developed for magnetically confined Fermi gas at low temperature
based on the density functional theory. The theory is illustrated by numerical
calculation of density distributions of Fermi atoms $^{40}$K with parameters
according to DeMarco and Jin's experiment[Science, 285(1999)1703]. Our results
are in good agreement with the experiment. To check the theory, we also
performed calculations using our theory at high temperature and compared very
well to the result of classical limit.
