I got it
My first thought was it is an optical illusion but it is not because it happens. Even though coin travels same distance it spins an extra revolution when it travels around a circle
The coin obviously rotates an extra turn when it travels a circular path opposed to a straight line even though the distances are the same .
The extra turn is because coin travels around another circle.
From the perspective of the either coin it does not it does not travel an extra turn.
Stand inside the circle and watch the coin rotate around you and you will not see an extra spin.
Stand inside the coin that is revolving and you will not see an extra spin.
You only see an additional spin with the outside perspective of watching coin spin around a circle
WTF would happen if coin traveled around a square with the same perimeter as the circle?