# Inscribed Angle Theorem

Topic:
Geometry

## 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?

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When moving point C does the angle change?

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## 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?

## 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

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## Find the measurement of the inscribed angle

What is the measurement of the inscribed angle

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## Find the measurement of the central angle

What is the measurement of the central angle

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Now that you have gone through this whole activity. What is the relationship between the central angle and the inscribed angle?

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