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Notes 10.2 Finding Arc Measures

This resource provides a comprehensive overview of measuring arcs in circles, focusing on the relationships between minor and major arcs, semicircles, and the Arc Addition Postulate. It explains that the measure of a minor arc corresponds to its central angle, while the major arc measure is derived from subtracting the minor arc from the total circle measure. The guide includes examples and exercises for practice, such as finding arc measures and determining congruence among arcs.

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Notes 10.2 Finding Arc Measures

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  1. Notes 10.2 Finding Arc Measures

  2. Measuring Arcs The measure of a minor arc is the measure of its central angle. The expression m is read as “the measure of arc AB.” The measure of the entire circle is __________. The measure of a major arc is the difference between ______ and the measure of the related minor arc. The measure of a semicircle is ______.

  3. 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.

  4. Ex 1) Find measures of arcs Find the measure of each arc of C, where is a diameter. a) b) c)

  5. Ex 2) You join a new bank and divide your money several ways, as shown in the circle graph. Find the arc measures: a) mb) m

  6. Ex 3) Tell whether the given arcs are congruent. Explain.

  7. Independent Practice #1 Find in the diagram.

  8. Independent Practice #2 Find and

  9. Independent Practice #3 Is ? Explain

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