Suppose I have a disc that is in translational as well as rotational motion.

Doubt 1

If we talk about the angular velocity of the disc, about which point is this angular velocity measured? (I mean to ask that is there any convention that if not mentioned angular velocity of a rigid body is the differential of angle measured with respect to a fixed point, say, the centre of mass of the body?)

Doubt 2.

Now suppose I have value of angular velocity about the centre of mass. Then will angular velocity of the body about any other point say P at a distance d from the centre of mass have the same value? If so then why?

Suppose I have a disc that is in translational as well as rotational motion.

Question 1:

If we talk about the angular velocity of the disc, about which point is this angular velocity measured? (I mean to ask that is there any convention that if not mentioned angular velocity of a rigid body is the differential of angle measured with respect to a fixed point, say, the centre of mass of the body?)

Question 2:

Now suppose I have value of angular velocity about the centre of mass. Then will angular velocity of the body about any other point say P at a distance d from the centre of mass have the same value? If so then why?