The magnetic field at the center of a circular current-carrying coil is directed perpendicular to the plane of the coil. The direction of this magnetic field can be determined using the right-hand thumb rule:
If you curl the fingers of your right hand in the direction of the current flowing through the coil, then your thumb points in the direction of the magnetic field at the center of the coil.
This magnetic field is uniform near the center and its magnitude depends on the current and radius of the coil.