Circles, Angles, and Arcs

William Rodgers, Mary Mackay, 2022/04/27

Students can investigate the relationship between the measures of arcs and angles that are inside, outside, on and at the center of a circle.


  • 1. Central Angles
  • 2. Vertex On the Circle
  • 3. Vertex is Inside the Circle
  • 4. Vertex of Angle is Outside the Circle

1.

Central Angles

Move the points around. Which angles and arcs seem to always be the same no matter where you move the points?
Which point can we not move for this simulation?
– Mary Mackay, William Rodgers

2.

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3.

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4.

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