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Circles

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Circles

  1. 1. CIRCLES<br />
  2. 2. Definitions<br /> pg 293 <br />A circle is the set of all points in a plane equidistant from a given point, called the center.<br />B<br />r<br />O<br />r<br />r<br />C<br />A<br />
  3. 3. Definitions<br /> pg 293 <br />A secant of a circle is a line that intersects the circle in two points.<br />A chord of a circle is a segment whose endpoints lie on the circle.<br /><ul><li>In the figure, AB is a chord.
  4. 4. Thus, every secant contains a chord.</li></ul>B<br />A<br />
  5. 5. Definitions<br /> pg 293 <br />A diameter of a circle is a chord containing the center. It is the longest chord.<br />A radius of a circle is a segment from the center to a point on the circle.<br />radius<br />Radius = AO<br />O<br />A<br />B<br />Diameter = AB<br />diameter<br />What is the relationship between a radius and a diameter?<br />
  6. 6. Identify if the following is a radius, diameter, or chord.<br />BC<br />EI<br />FJ<br />GD<br />GF<br />IF<br />FH<br />DA<br />MK<br />FM<br /><ul><li> chord
  7. 7. diameter
  8. 8. radius
  9. 9. diameter
  10. 10. radius
  11. 11. radius
  12. 12. radius
  13. 13. chord
  14. 14. diameter
  15. 15. radius</li></li></ul><li>Identify if the following is a radius, diameter, or chord.<br />AD<br />GF<br />EG<br />GN<br />BM<br />GL<br />KL<br />GK<br />EK<br />GB<br /><ul><li> chord
  16. 16. radius
  17. 17. radius
  18. 18. radius
  19. 19. diameter
  20. 20. radius
  21. 21. chord
  22. 22. radius
  23. 23. diameter
  24. 24. radius</li></li></ul><li>Identify if the following is a radius, diameter, or chord.<br />JH<br />TX<br />CL<br />GD<br />EH<br />MN<br />VC<br />NL<br />KP<br />CQ<br /><ul><li> chord
  25. 25. diameter
  26. 26. radius
  27. 27. diameter
  28. 28. diameter
  29. 29. chord
  30. 30. radius
  31. 31. diameter
  32. 32. chord
  33. 33. radius</li></li></ul><li>TANGENTS LINES TO CIRCLES<br />
  34. 34. pg 294 <br />The interior of a circle is the set of all points of the plane whose distance from the center is less than the radius. (inside)<br />Theexterior of a circle is the set of all points of the plane whose distance from the center is greater than the radius. (outside)<br />O<br />Exterior<br />Interior<br />
  35. 35. pg 294 <br />A tangent line to a circle is a line in the plane of the circle that intersects the circle in exactly one point.<br />The point where a circle and a tangent intersect is the point of tangency.<br />
  36. 36. Tangents and Secants<br />Tangents and secants are LINES.<br />A tangent line intersects the circle at exactly ONE point.<br />A secant line intersects the circle at exactly TWO points.<br />
  37. 37. A little extra information<br /><ul><li>The word tangent comes from the Latin word meaning to touch
  38. 38. The word secant comes from the Latin word meaning to cut.</li>
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