You have a circular turntable with a diameter of 36 centimeters, and there is a yellow line painted from the center of the turntable to its outer edge. A mouse is initially sitting at the center of the turntable but then starts walking along the yellow line at a speed of 9 centimeters per second. All the while, the turntable is rotating clockwise (when viewed from above) with an angular speed of 8 radians per second. What is the length traced by the mouse's path as it moves from the center of the turntable to the outside
