Circle Fest: Interactive Theorem Discoverer #1

What is the relationship between the central angle of the circle and the inscribed angle of the circle?
[math]\alpha = \angle CAD[/math] has a relationship with [math]\beta = \angle CBD[/math]. [br][br]Play with the positioning of the points to help see other value measures.[br][br]Draw a picture of the circle with its central angle and it's inscribed angle, then state the relationship as a formula using [math]\alpha[/math] and [math]\beta[/math] instead of the actual angle measures.

Information: Circle Fest: Interactive Theorem Discoverer #1