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9 1 Tangents Arcs And Chords

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9 1 Tangents Arcs And Chords

  1. 1. 9-1 Tangents, Arcs, and Chords
  2. 2. 9-1 Tangents, Arcs, and Chords <ul><li>Circle - is the set of all points in a plane that are equidistant from a given point . </li></ul><ul><li>Center – point in </li></ul><ul><li>the middle. </li></ul>
  3. 3. 9-1 Tangents, Arcs, and Chords <ul><li>A circle with center P is called “circle P” </li></ul>P
  4. 4. 9-1 Tangents, Arcs, and Chords <ul><li>Radius – the distance from the center to a point on the circle </li></ul>P radius
  5. 5. 9-1 Tangents, Arcs, and Chords <ul><li>Radius – the distance from the center to a point on the circle </li></ul><ul><li>Diameter – the distance across the circle going through </li></ul><ul><li>the center </li></ul>P radius diameter
  6. 6. 9-1 Tangents, Arcs, and Chords <ul><li>Radii – Plural of radius. All radii of a circle are congruent. </li></ul><ul><li>Chord – A segment whose endpoints are points on the circle. </li></ul>P radii chord
  7. 7. 9-1 Tangents, Arcs, and Chords <ul><li>Secant – A line that intersects a circle in two points. </li></ul><ul><li>Tangent – A line that intersects the circle in exactly </li></ul><ul><li>one point. </li></ul>P secant tangent
  8. 8. 9-1 Tangents, Arcs, and Chords <ul><li>Given Circle C </li></ul><ul><li>What is: </li></ul>C A K E D F G H J B
  9. 9. 9-1 Tangents, Arcs, and Chords <ul><li>Given Circle C </li></ul><ul><li>What is: </li></ul><ul><li>___ </li></ul><ul><li>AD </li></ul>C A K E D F G H J B diameter or chord
  10. 10. 9-1 Tangents, Arcs, and Chords <ul><li>Given Circle C </li></ul><ul><li>What is: </li></ul><ul><li>___ </li></ul><ul><li>CD </li></ul>C A K E D F G H J B radius
  11. 11. 9-1 Tangents, Arcs, and Chords <ul><li>Given Circle C </li></ul><ul><li>What is: </li></ul><ul><li>EG </li></ul>C A K E D F G H J B tangent
  12. 12. 9-1 Tangents, Arcs, and Chords <ul><li>Given Circle C </li></ul><ul><li>What is: </li></ul><ul><li>___ </li></ul><ul><li>HB </li></ul>C A K E D F G H J B chord
  13. 13. 9-1 Tangents, Arcs, and Chords <ul><li>Given Circle C </li></ul><ul><li>What is: </li></ul><ul><li>KG </li></ul>C A K E D F G H J B secant
  14. 14. 9-1 Tangents, Arcs, and Chords <ul><li>Cocentric Circles – Circles that share the same center. </li></ul>
  15. 15. 9-1 Tangents, Arcs, and Chords <ul><li>Circumscribed Polygon – A polygon that is surrounded by a circle. </li></ul>
  16. 16. 9-1 Tangents, Arcs, and Chords <ul><li>Inscribed Circle – A circle surrounded by a polygon. </li></ul>
  17. 17. 9-1 Tangents, Arcs, and Chords <ul><li>Point of Tangency – Point at witch the tangent line hits the circle. </li></ul>point of tangency
  18. 18. <ul><li>All terms apply to spheres as well. </li></ul>
  19. 19. 9-1 Tangents, Arcs, and Chords SPICSA 330 2,3,4,6,7,8,9,10,11,12,14

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