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GEOMETRY: Chapter 10

GEOMETRY: Chapter 10. 10.2: Arcs and Chords. A central angle of a circle is an angle whose vertex is the center of the circle. In the diagram, angle ACB is the central angle of circle C. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 659. Use the diagram from last slide:.

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GEOMETRY: Chapter 10

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  1. GEOMETRY: Chapter 10 10.2: Arcs and Chords

  2. A central angle of a circle is an angle whose vertex is the center of the circle. In the diagram, angle ACB is the central angle of circle C. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 659.

  3. Use the diagram from last slide:

  4. Measuring Arcs: The measure of a minor arc is the measure of its central angle. The measure of the entire circle is 360o. The measure of a major arc is the difference between 360o and the measure of the related minor arc. The measure of a semicircle is 180o. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 659.

  5. Ex.1: Answer: a. 135o; b. 225o ; c.180o Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 660.

  6. Postulate 23:Arc Addition Postulate The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 660.

  7. Ex. 2: A result of a survey about the ages of people in a town are shown. Find the indicated arc measures. Answer: a. 140o ; b. 130o ; c. 230o ; d. 270o Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 660.

  8. Congruent Circles and Arcs Two circles are congruent circles if they have the same radius. Two arcs are congruent arcs if they have the same measure and they are arcs of the same circle or of congruent circles.

  9. Ex. 3: Images taken from: Geometry. McDougal Littell: Boston, 2007. P.661.

  10. Ex. 3: Images taken from: Geometry. McDougal Littell: Boston, 2007. P.661.

  11. 10.2, p. 607

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