Circumference and Pi Conjecture

Explanation:

We see that to find the circumference of a circle we need to use the number "pi". One exploratory way to find pi would be to measure the circumference of circles and divide by their diameters, respectively. You will find that pi is approximately equal to 3.14, or 22/7. Click here to further explore pi.

The precise statement of the conjecture is:

Conjecture (Circumference ): If C is the circumference and D is the diameter of a circle, then there is a number p such that C=pD. Since D=2r, where r is the radius, the C=2pr.

Interactive Sketch Pad Demonstration:

• Key Curriculum Press can provide demo versions of Geometer's Sketch Pad
  • Sketchpad for Mac, Version 3.00 (721K)
    
  • Sketchpad 3.04 for Windows (638K)
    
  • More Sketch Pad download information

• Linked Sketch Pad demonstration of the Circumference Conjecture

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Linked Activity:

Please feel free to try the activity sheet associated with this conjecture.

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Next: Arc Length Conjecture
Previous: Inscribed Quadrilateral Conjecture
Back: Conjectures in Geometry Conjecture List or to the Introduction.