Circumference - GeoGebra by ewghwehws

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									Circumference

 Wilfredo Rodriguez
Multimedia Project #4


       Circumference
         What is a circle?
• A circle is defined as a set of points
  equidistant from a given point.




                 Circumference
        What is a radius?
• The radius of a circle is a segment
  that has an endpoint on the center
  and another on an endpoint on the
  circle.




                 Circumference
      What is the diameter?
• A diameter is a straight line through the
  center and terminating in both directions
  on the circumference.




                   Circumference
  What is the circumference?
• The circumference of a circle is the
  distance around the circle. You can think
  of it as the perimeter of a circle
  (periphery).




                  Circumference
The circumference




                       of a circle

            Circumference
        How do we find the
         circumference?
• For all circles of all sizes the formula
 C  2r......, r,......  d
              o        C


• C = circumference, d = diameter,
and r = radius.

                   Circumference
  First we need to find              (pi)!
  What is      ?
Is it…..
  3.14159265358979323846264338
  327950288419716939937510582097
  494459230781640628620899862803
  482534211706798214808651328230
  66470938446095505822172535…..?
                    Circumference
      How do we find π?
• π is found through the ratio of the
  circumference and the diameter. π is
  always approximately 3.14.

   C                   C
      3.14,...or......,  
   d                    d
                Circumference
The number of times you must travel along the
diameter of the circle to go the same distance as all
the way round the circle is known as Pi.


          once
         twice
  three times across
     and a little bit
         more!
    Since  is a bit more than 3.
                         Circumference
Summary

                      Circumference
                      =  × Diameter




          Circumference
          Student Activities
•   GeoGebra Demonstration
•   Student Activity 1
•   Student Activity 2
•   Student Activity 3
•   Student Activity 4
•   Archimedes

                 Circumference

								
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