Circles and Arcs in Geometry

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Learn about circles, arcs, and angles in geometry, including definitions, measurements, and problem-solving techniques. Explore the properties of different arcs and circles through illustrative examples and exercises.

  • Geometry
  • Circles
  • Arcs
  • Angles
  • Problem-solving

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Presentation Transcript


  1. 10-6 Circles and Arcs

  2. Circle: the set of all points equidistant from a given point called the center Diameter: is the segment that contains the center of a circle and has both endpoints on the circle Radius: a segment that has one endpoint at the center and the other on the circle Congruent Circles: have congruent radii Central angle: and angle whose vertex is the center of the circle

  3. Arc: is a part of a circle Semicircle: half of a circle Minor arc: smaller than a semicircle (name by its endpoints) Major arc: larger than a semicircle (name by its endpoints and another point on the arc

  4. Problem 1: Naming Arcs

  5. Arc Measure

  6. Arc Addition Postulate Adjacent arcs: are arcs of the same circle that have exactly one point in common.

  7. Problem 2: Finding the Measures of Arcs

  8. Circumference of a Circle

  9. Problem 3: Finding a Distance

  10. Arc Length

  11. Problem 4: Finding Arc Length

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