# Inscribed Angle Theorem

- Author:
- Jaime Uriostegui

- 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?

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?