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Circles and Circumference. Section 10.1. Circle – set of all ordered points that are equidistant from a given point (center). Chord – segment whose endpoints are points on the circle. Radius – segment with endpoints that are the center and a point of the circle

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Presentation Transcript
slide2
Circle – set of all ordered points that are equidistant from a given point (center).
  • Chord – segment whose endpoints are points on the circle.
  • Radius – segment with endpoints that are the center and a point of the circle
  • Diameter – a chord that passes through the center of the circle
identify parts of a circle
Identify Parts of a Circle
  • Name the circle
  • Circle A or
  • Name a radius
  • Name 2 chords
  • Name a diameter
slide4
All radii in a circle are congruent.
  • A diameter (d) is composed of 2 radii (r). So all diameters in a circle are congruent.
  • d = 2r
find measures in intersecting circles
Find measures in intersecting circles
  • The diameters of are 10 inches, 20 inches, and 14 inches respectively. Find XB.
  • d = 10 in circle A, AX = 5
  • d = 20 in circle B AB = 10 and BC = 10
  • AX + XB = AB
  • 5 + XB = 10
  • XB = 5
  • Find BY
  • d = 14 in circle C, YC = 7
  • BY + YC = BC
  • BY + 7 = 10
slide6
Circumference – is the distance around the circle.
  • Circumference is most represented by C
  • The ratio of the circumference of a circle and the diameter of the circle is an irrational number called pi. The Greek letter is used as the exact value.
  • C =
  • Or C =
slide7
Find C if r = 13 inches.
  • C =
  • Find C if d = 6 mm
  • C =
  • Find d and r if C =
  • d = 34
  • If d = 34 then r = 17
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