Drag point C around Circle A. Point P will trace a function that you will recognize. Notice the input of point P is the same as the input for point C. The output for point P is the same as "d", the distance around the circle.

What is the name of the function point P traces as you drag point C around Circle A? Explain how the input/output relationship of point P creates this function. Why does the traced function have a repeating period? Change the radius of Circle A by dragging the slider "r" left or right. Explain how the function traced by P changes as the radius of the circle increases. Why does this occur? What is the relationship between the radius of Circle A and the function traced by point P?