9 Circle Part 3: Inscribed and Central Angles

Part III Inscribed and Central Angles: Question 1-3

1. Use Toolbar Image (Circle with Center and Radius) to create a 6 unit radius circle with centre A 2. Use Toolbar Image (Polygon) to create a polygon with vertices on the circle with an inscribed angle and central angle.  Click 3 points on the circle (BCD), (make sure C is on the opposite arc, then back to the same side), then the center (A), then to the first point of the circle (B). *Note: Do not pick points on an axis. 3. Use Toolbar Image (Angle) to measure the central and inscribed angles.  If you get the reflex angle, re-measure the angle by clicking on the points of the angle in reverse order.  Eg.   AOB becomes BOA.

Part III Inscribed and Central Angles: Questions 4-6 and 7

4. Use , move Point B to any other location on the arc.  5. Move Point C to any other location on the arc.  6. Move Point D to any other location on the arc. Answer the following question: 7. What do you notice with the measurement of the central and inscribed angles as you move points B, C, and D?

Part III Inscribed and Central Angles: Question 8

Repeat steps 1 – 6 with 2 other circles.