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 [br][br]2. Move point B. 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 (CAD) and the arc measure?[br][br]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?
– ANABEL STA CRUZ SOLLANO

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