This is what you're making
[b][size=150][left][b][size=150]Construct a Central Angle[/size][/b][br][/left][/size][/b][list=1][*]Take a look below to get an idea of what you are constructing.[/*][*]Construct a circle.[br][/*][*]Hide the point on the circle, but not the point at the center.[/*][*]Construct two new points on the circle.[br][/*][*]Construct a segment from one of the points on the circle to the center.[br][/*][*]Construct a second segment from the second point to the center of the circle.[br][/*][*]Measure the angle.[br][/*][/list][b]Construct an Inscribed Angle[/b][br][list=1][*]Construct a third point on the circle, preferably across the circle from your first two.[/*][*]Construct a segment from the first point to the third point.[/*][*]Construct a segment from the second point to the third point.[/*][*]measure the angle.[/*][/list]What do you notice about the two angles?
Is there a relationship between the central and inscribed angle? What is it?