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CHAPTER 9: CIRCLES

CHAPTER 9: CIRCLES. 9.3 ARCS AND CENTRAL ANGLES. CENTRAL ANGLE. A central angle of a circle is an angle with vertex at the center of the circle. Central Angle. MINOR ARCS. Minor arc BC is pictured below: BC. B. C. A. MAJOR ARC. Major arc BDC or CDB is pictured below: BDC. B. C.

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CHAPTER 9: CIRCLES

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  1. CHAPTER 9:CIRCLES 9.3 ARCS AND CENTRAL ANGLES

  2. CENTRAL ANGLE A central angle of a circle is an angle with vertex at the center of the circle. Central Angle

  3. MINOR ARCS Minor arc BC is pictured below: BC B C A

  4. MAJOR ARC Major arc BDC or CDB is pictured below: BDC B C A D

  5. MEASURES OF ARCS • The measure of a minor arc is the measure of its central angle. • The measure of a major arc is 360° minus the measure of its minor arc.

  6. ARC MEASURES 30° B 30° 30° C 330° A D

  7. SEMICIRCLE A semicircle is formed when a diameter is drawn on a circle. The measure of a semicircle is 180°.

  8. POSTULATE 16 POSTULATE 16Arc Addition Postulate The measure of the arc formed by two adjacent arcs is the sum of the measures of these two arcs. • Adjacent arcs of a circle are arcs that have only one point in common.

  9. THEOREM 9-3 THEOREM 9-3 In the same circle or in congruent circles, two minor arcs are congruent if and only if their central angles are congruent. • Congruent arcs are arcs in the same circle or in congruent circles that have equal measures.

  10. NAME: Two minor arcs: Two major arcs: Two semicircles: An acute central angle: Two congruent arcs: EXAMPLES C R O A S

  11. CLASSWORK/HOMEWORK 9.3 ASSIGNMENT Classwork: • Pg. 341, Classroom Exercises 1-13 Homework: • Pgs. 341-342, Written Exercises 1-8, 10-11

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