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4b: Measuring Angles and Arcs

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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: - PowerPoint PPT Presentation

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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.

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Page 1: 4b: Measuring Angles and Arcs

4b: Measuring Angles and ArcsA central angle of a circle is an

angle with a vertex at the circle center. Its sides contain two radii of the circle.

Page 2: 4b: Measuring Angles and Arcs

4b: Measuring Angles and ArcsThe sum of the central angles of

a circle are 360º.

Page 3: 4b: Measuring Angles and Arcs

4b: Measuring Angles and ArcsExample:Find the value of x.

Page 4: 4b: Measuring Angles and Arcs

4b: Measuring Angles and ArcsExample:Find the value of x.

Page 5: 4b: Measuring Angles and Arcs

4b: Measuring Angles and ArcsAn arc is a portion of a circle

defined by two endpoints.

Page 6: 4b: Measuring Angles and Arcs

4b: Measuring Angles and Arcs

Page 7: 4b: Measuring Angles and Arcs

4b: Measuring Angles and Arcs

Page 8: 4b: Measuring Angles and Arcs

4b: Measuring Angles and ArcsExample:

Page 9: 4b: Measuring Angles and Arcs

4b: Measuring Angles and ArcsCongruent arcs are arcs in the

same or congruent circles that have the same measure.

Page 10: 4b: Measuring Angles and Arcs

4b: Measuring Angles and Arcs

Page 11: 4b: Measuring Angles and Arcs

4b: Measuring Angles and ArcsAdjacent arcs in a circle have

exactly one point in common.

Page 12: 4b: Measuring Angles and Arcs

4b: Measuring Angles and ArcsExample:

Page 13: 4b: Measuring Angles and Arcs

4b: Measuring Angles and ArcsArc Length is the distance between

the endpoints along an arc measured in linear units.

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4b: Measuring Angles and Arcs

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4b: Measuring Angles and Arcs

Page 16: 4b: Measuring Angles and Arcs

4b: Measuring Angles and ArcsHomework:Page 710 – 711, #12 – 23 all, 26 – 38 all.

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