The angle between linear velocity (v) and angular velocity (ω) of a particle moving in a circle is 90 degrees (or π/2 radians). Here's why:

* Linear velocity is the rate of change of an object's position, and it's always tangent to the circular path at any given point.

* Angular velocity is the rate of change of an object's angular position, and it's always directed along the axis of rotation, perpendicular to the plane of the circular motion.

Since the linear velocity is tangential to the circle and the angular velocity is perpendicular to the plane of the circle, they are always at a right angle to each other.