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Learn to use angle measures to find arc measures, understand central angles, minor arcs, major arcs, semicircles, and congruent arcs in circle geometry. Explore examples and practice measuring arcs.

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Do Now

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  1. Do Now

  2. 10.2 Central Angle Objective: To use angle measures to find arc measures

  3. Central Angle and Arcs • A central angle is an angle whose vertex is the center of a circle. : Central Angle

  4. Central Angle and Arcs • Minor Arc: the piece of the circumference of the circle that is formed from a central angle less than 180 degrees. AB • Major Arc: piece of the circumference larger than 180 degrees. ADB • Semicircle: piece of the circumference that is exactly 180 degrees.

  5. Example 1:

  6. Measure of arcs • The measure of an arc is the same number of degrees as its angle. • Example 2:

  7. Example 3:

  8. Example 4: Congruent Arcs

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