For the Point $\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$ , Find the Angle the Radius of the Unit Circle

For the point $\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$ , find the angle the radius of the unit circle ending at that point makes with the positive horizontal axis. Among the infinite number of possible correct solutions, choose the one with the smallest absolute value.

A) $60^{\circ}$
B) $30^{\circ}$
C) $-60^{\circ}$
D) $-30^{\circ}$