1. **Problem statement:** Given a circle with center at point $P$, two radii $A$ and $B$ form an angle of $286^\circ$ at $P$. We want to understand the properties of this angle in the context of the circle. 2. **Key fact:** The total degrees around a point is $360^\circ$. An angle of $286^\circ$ is an obtuse reflex angle (greater than $180^\circ$ but less than $360^\circ$). 3. **Finding the smaller angle between the radii:** Since the full circle is $360^\circ$, the smaller angle between the two radii is $$360^\circ - 286^\circ = 74^\circ.$$ 4. **Interpretation:** The two radii form a reflex angle of $286^\circ$ and a smaller angle of $74^\circ$ at the center $P$. The smaller angle is often used in calculations involving arcs and sectors. 5. **Summary:** The angle between radii $A$ and $B$ at center $P$ is $286^\circ$ (reflex angle), and the corresponding smaller angle is $74^\circ$. Final answer: The smaller angle between the radii is $74^\circ$.