This is an investigation to determine the relationship between a central angle and an inscribed angle.[br][br]The points on the circle and the radius are dynamic and can be moved.

1. Move the points B and C, noting how it changes the two angle values. Create a table of 5 sets of data listing the arc measure, angle BAC and angle BDC [br][br]2. Move point D. How does this change the inscribed angle measure?[br][br]3. Does changing the radius change the angle measures?[br][br]4. What is the relationship between the central angle (BAC) and the arc measure?[br][br]5. What is the relationship between the inscribed angle (BDC) and the arc measure? Is this the same relationship between the inscribed angle and central angle?[br][br]6. Test your hypothesis by unchecking the boxes, creating a new arc measure and finding the angle measures. Then check the box to check your answer.