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Section 10-2

Section 10-2. Arcs and Central Angles. Circle B. is a central angle. Central angle. An angle with its vertex at the center of a circle. ARC. an unbroken part of a circle. : read “arc AC”. Named using two letters ( Ex : ). Three Types of Arcs:. Minor Arc: less than.

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Section 10-2

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  1. Section 10-2 Arcs and Central Angles

  2. Circle B is a central angle Central angle • An angle with its vertex at the center of a circle.

  3. ARC • an unbroken part of a circle : read “arc AC”

  4. Named using two letters • (Ex: ) Three Types of Arcs: • Minor Arc: less than • Measure is the same as • its central angle

  5. 2. Major Arc: more than • Named using three letters (Ex: ) • Measure is 360 minus the measure of its associated minor arc

  6. 3.Semicircle: equals • Endpoints of the arc are the endpoints of a diameter • Named using three letters

  7. and Adjacent Arcs • Arcs in a circle that have exactly one point in common. are adjacent arcs

  8. Arc addition postulate • The measure of the arc formed by two adjacent arcs is the sum of the measures of the two arcs. • Applies like segment addition postulate

  9. ABD

  10. Congruent Arcs • Two arcs of the same circle or of congruent circles are congruent if they have the same measure.

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