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Arcs in Circles

Arcs in Circles. Definition:. An arc is part of a circle's circumference The degree measure of an arc is equal to the degree measure of the central angle that intercepts the arc. . Length of an Arc vs. Circumference. In a circle, the length of an arc is a portion of the circumference

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Arcs in Circles

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  1. Arcs in Circles

  2. Definition: An arc is part of a circle's circumference • The degree measure of an arc is equal to the degree measure of the central angle that intercepts the arc.

  3. Length of an Arc vs. Circumference • In a circle, the length of an arc is a portion of the circumference • Rewrite as

  4. Example • In circle O, the radius is 8, and the measure of minor arc is 110 degrees.  Find the length of minor arc to the nearest integer. Arc Length =  15.35889742 15

  5. Theorem 1 • congruent central angles have congruent arcs

  6. Theorem 2: • Congruent central angles have congruent chords

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