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4b: Measuring Angles and Arcs

4b: Measuring Angles and Arcs. A central angle of a circle is an angle with a vertex at the circle center. Its sides contain two radii of the circle. 4b: Measuring Angles and Arcs. The sum of the central angles of a circle are 360º. 4b: Measuring Angles and Arcs. Example:

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4b: Measuring Angles and Arcs

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  1. 4b: Measuring Angles and Arcs • A central angle of a circle is an angle with a vertex at the circle center. Its sides contain two radii of the circle.

  2. 4b: Measuring Angles and Arcs • The sum of the central angles of a circle are 360º.

  3. 4b: Measuring Angles and Arcs • Example: Find the value of x.

  4. 4b: Measuring Angles and Arcs • Example: Find the value of x.

  5. 4b: Measuring Angles and Arcs • An arc is a portion of a circle defined by two endpoints.

  6. 4b: Measuring Angles and Arcs

  7. 4b: Measuring Angles and Arcs

  8. 4b: Measuring Angles and Arcs Example:

  9. 4b: Measuring Angles and Arcs • Congruent arcs are arcs in the same or congruent circles that have the same measure.

  10. 4b: Measuring Angles and Arcs

  11. 4b: Measuring Angles and Arcs • Adjacent arcs in a circle have exactly one point in common.

  12. 4b: Measuring Angles and Arcs Example:

  13. 4b: Measuring Angles and Arcs • Arc Length is the distance between the endpoints along an arc measured in linear units.

  14. 4b: Measuring Angles and Arcs

  15. 4b: Measuring Angles and Arcs

  16. 4b: Measuring Angles and Arcs • Homework: Page 710 – 711, #12 – 23 all, 26 – 38 all.

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