Part 3: Lengths of Segments formed by one Tangent and one Secant

AP is a secant. CP is a tangent. AP and CP intersect outside of circle O. Move any of points A, B, or C to change the lengths and take note of which values are the same. You may also move the slider r to change the length of the radius. Which products are always the same? How does the tangent length relate to the secant's length?

Information: Part 3: Lengths of Segments formed by one Tangent and one Secant