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Explore Arcs and Chords in Circles with Jewelry and Ceramic Tiles

Learn about the relationship between arcs and chords in circles through jewelry and ceramic tiles. Discover how to find arc measures, chord lengths, and utilize radii and diameters to solve geometric problems.

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Explore Arcs and Chords in Circles with Jewelry and Ceramic Tiles

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  1. Chapter 10.3 Arcs and chords

  2. Chords (not like in music) • A chord is a segment with endpoints on a circle. • If a chord is not a diameter, then its endpoints divide the cirlce into a major and a minor arc

  3. Concept

  4. Jewelry A circular piece of jade is hung from a chain by two wires around the stone. JM  KL and = 90. Find . Use Congruent Chords to Find Arc Measure

  5. A. 42.5 B. 85 C. 127.5 D. 170

  6. Use Congruent Arcs to Find Chord Lengths

  7. A. 6 B. 8 C. 9 D. 13

  8. Concept

  9. Answer: Use a Radius Perpendicular to a Chord

  10. A. 14 B. 80 C. 160 D. 180

  11. CERAMIC TILE In the ceramic stepping stone below, diameter AB is 18 inches long and chord EF is 8 inches long. Find CD. Use a Diameter Perpendicular to a Chord

  12. In the circle below, diameter QS is 14 inches long and chord RT is 10 inches long. Find VU. A. 3.87 B. 4.25 C. 4.90 D. 5.32

  13. Concept

  14. Chords Equidistant from Center

  15. A. 7 B. 10 C. 13 D. 15

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