Drag the GOLD dot to 'square' the circle geometrically -[br]when you do this two sets of parallel segments that are[br]perpendicular to one another are connected at the corners[br]by quarter circles.[br][br]Drag the slider to 'square' the circle algebraically -[br]when you do this a generalization of the circle relation [br]is plotted.[br][br]What conjectures do you have in each case about ratio of the area[br]of the 'squared circle' to that of the limiting square?