Define angulnr velocity. Derive `v = r omega`

A body is in pure rotation. The linear speed v of the particle, the distance r of the particle from the axis and the angular velocity roof the body are related as omega =v/r . Then

(A) : Angular velocity of all the particles are same when a rigid body perform rotation. (R ) : The relation between angular velocity and linear velocity is v=w xx r where r is the radius of rotation about the axis.