Click on the point of the circle in the first quadrant and use the mouse or keyboard to move the point to see the area of the inscribed rectangle change. What dimensions give a maximum area? What is the maximum area?

What is the minimum value for the width of the rectangle?
What is the maximum value for the width of the rectangle?
What is the area of the inscribed rectangle when the width is 2 units?
What are the dimensions that maximize the area?
What is the maximum area?
If the inscribed rectangle is removed, what is the area that is left?