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Circles
 

Circles

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    Circles Circles Presentation Transcript

    • CIRCLES
    • Definitions
      pg 293
      A circle is the set of all points in a plane equidistant from a given point, called the center.
      B
      r
      O
      r
      r
      C
      A
    • Definitions
      pg 293
      A secant of a circle is a line that intersects the circle in two points.
      A chord of a circle is a segment whose endpoints lie on the circle.
      • In the figure, AB is a chord.
      • Thus, every secant contains a chord.
      B
      A
    • Definitions
      pg 293
      A diameter of a circle is a chord containing the center. It is the longest chord.
      A radius of a circle is a segment from the center to a point on the circle.
      radius
      Radius = AO
      O
      A
      B
      Diameter = AB
      diameter
      What is the relationship between a radius and a diameter?
    • Identify if the following is a radius, diameter, or chord.
      BC
      EI
      FJ
      GD
      GF
      IF
      FH
      DA
      MK
      FM
      • chord
      • diameter
      • radius
      • diameter
      • radius
      • radius
      • radius
      • chord
      • diameter
      • radius
    • Identify if the following is a radius, diameter, or chord.
      AD
      GF
      EG
      GN
      BM
      GL
      KL
      GK
      EK
      GB
      • chord
      • radius
      • radius
      • radius
      • diameter
      • radius
      • chord
      • radius
      • diameter
      • radius
    • Identify if the following is a radius, diameter, or chord.
      JH
      TX
      CL
      GD
      EH
      MN
      VC
      NL
      KP
      CQ
      • chord
      • diameter
      • radius
      • diameter
      • diameter
      • chord
      • radius
      • diameter
      • chord
      • radius
    • TANGENTS LINES TO CIRCLES
    • pg 294
      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)
      Theexterior of a circle is the set of all points of the plane whose distance from the center is greater than the radius. (outside)
      O
      Exterior
      Interior
    • pg 294
      A tangent line to a circle is a line in the plane of the circle that intersects the circle in exactly one point.
      The point where a circle and a tangent intersect is the point of tangency.
    • Tangents and Secants
      Tangents and secants are LINES.
      A tangent line intersects the circle at exactly ONE point.
      A secant line intersects the circle at exactly TWO points.
    • A little extra information
      • The word tangent comes from the Latin word meaning to touch
      • The word secant comes from the Latin word meaning to cut.