To calculate the outbound angle of a circle after colliding with another circle, the reflection law is applicable, where the inbound angle equals the outbound angle, measured from the tangent at the collision point. The discussion emphasizes the importance of understanding the geometry of the collision, specifically how angles are defined relative to the tangent plane at the point of impact. Clarification is sought on whether this reflection principle is sufficient for accurate calculations. The conversation highlights the need for precise definitions and understanding of angles in the context of circular collisions. Accurate calculations are crucial for predicting the post-collision trajectory of the moving circle.