Central Angle and Inscribed Angle
Investigate the relationship between the measure of a central angle and an inscribed angle intercepting the same arc. 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 CAD and angle CBD
2. Move point B. How does this change the inscribed angle measure?
3. Does changing the radius change the angle measures?
4. What is the relationship between the central angle (CAD) and the arc measure?
5. What is the relationship between the inscribed angle (CBD) and the arc measure? Is this the same relationship between the inscribed angle and central angle?