For a circular coil carrying current, the magnetic field on its axis is always along the axis direction. The field's direction is given by the right-hand thumb rule: curl your fingers in the current direction (anti-clockwise here), and your thumb points the field direction along the axis. Since the current is anti-clockwise, the thumb points away from you, meaning the field at a point on the axis is away from the coil's center.

Mathematically, the field magnitude is $B=\frac{{\mu }_{0}I{R}^2}{2{(R^2+x^2)}^{3/2}}$, and its vector is axial.

Final answer: along the axis away from the centre of the coil