A circular loop of wire, with radius R, lies in the xy plane and carries a current

A circular loop of wire, with radius R, lies in the xy plane (centered at the origin) and carries a current I running counterclockwise as viewed from the positive z axis.
a. What is its magnetic dipole moment?
b. What is the (approximate) magnetic field at points far from the origin?
c. Show that, for points on the z axis, your answer is consistent with the exact field, when z>>R.