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10-3 Arcs and Chords

10-3 Arcs and Chords. Arcs and Chords. In a circle (or 2 congruent circles) two minor arcs are congruent if and only if their corresponding chords are congruent. A. B. C. D. Inscribed and Circumscribed Polygons.

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10-3 Arcs and Chords

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  1. 10-3 Arcs and Chords

  2. Arcs and Chords • In a circle (or 2 congruent circles) two minor arcs are congruent if and only if their corresponding chords are congruent. A B C D

  3. Inscribed and Circumscribed Polygons • If all the vertices of a polygon lie on a circle then the polygon is inscribed in the circle • The circle is circumscribed about the polygon because it contains the vertices B C A E D

  4. Diameters and Chords • If a diameter (or radius) is perpendicular to a chord then it bisects the chord and its arc B C T V U A

  5. Example: • Circle W has radius 10 cm. Radius WL is perpendicular to chord HK and HK is 16 cm. • If mHL = 53, find mMK • Find JL M W J H K L

  6. Chords equidistant from the center • In a circle, 2 chords are congruent if and only if they are equidistant from the center • Example: EF and GH are equidistant form the center. If the radius is 15 and EF=24, Find PR and RH F Q E H P R G

  7. Example: • Radius of N is 18, NK=9, mDE=120 • Find m<HNE • Find HN • Find HE • Find mGE Y K N X D H E G

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