Inscribed Angle Theorem
Angle ABC is called an inscribed angle. Move point C around and see what happens to angle ABC. Then move points B around and see what happens to angle ABC
When moving point B does the angle change?
When moving point C does the angle change?
Now we will connect some more points and create a new angle ADC which is called the central angle
What do you think the central angle is in the circle shown above?
The central angle was 90
Play around with the positioning of points B and D. See if you can find a relationship between the inscribed angle and central angle
What kind of relationship did you notice between the central angle and the inscribed angle?
Review
The following are some problems for you to try
Find the measurement of the central angle
What is the measurement of the central angle
Find the measurement of the inscribed angle
What is the measurement of the inscribed angle
Find the measurement of the central angle
What is the measurement of the central angle
Now that you have gone through this whole activity. What is the relationship between the central angle and the inscribed angle?