Celebrating Π  (3.14159…) 

Pi, the relationship of a circle’s circumference to its diameter, is an irrational number whose digits never end, although it has been calculated to billions of places.   Sci-Tech Discovery Center celebrates Pi this month on March 14, or 3.14.   Put a candle on a slice of pie at 1:59 p.m. and celebrate Albert Einstein’s birthday, too!  2008 marks Pi’s 302nd anniversary and Einstein’s 129th

Welsh mathematician William Jones gave Pi its name in 1706, yet Greek scholar Archimedes proved the concept around 200 B.C. 

 

Archimedes                                     William Jones         

To celebrate the meaning of Pi, Sci-Tech Discovery Center worked with PISD to produce a film clip and bookmark to demonstrate its everyday usesThanks to Richardson Bike Mart and Alcatel for helping with the project!

Solve this

  1. Picture this: an adult riding casually on a bicycle and his small child pedaling furiously to keep up.  What's going on here? How many more revolutions would it take for a 16” wheel to cover 100 yards versus a 27” wheel - gear settings, etc. all else being equal? 
     
  2. How many cell towers would be required to cover a city that is 10 miles across and 8 miles wide, taking into account no interferences with other signals?  Assume that each tower can cover a 3 mile radius.

More circles to think about

     

Why are manhole covers round?

 

Before discussing possible answers to this question, think about these questions:

  • How much does a manhole cover weigh?

  • How are the covers removed and replaced?

  • How are manhole covers manufactured?

  • What is underneath the manhole cover?

  • What shapes are the things that go in and come out of the manhole?

  • What might walk or roll over the manhole cover?  How heavy are those things?

Ok, with these thoughts rolling around in your head, here is an official answer from City of Plano Utility Technician, Terry Whitehead, who says they’re round because they’ll never fall in the hole.  Some other answers some have proposed:

  • So they can be easily moved by rolling them

  • So they don't require any alignment to place on the hole

  • A round shape distributes weight most evenly

  • They are easier to manufacture

To further complicate things, manhole covers aren’t round everywhere.  You’ll find square ones in parts of Europe.

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What do you think?  Email us any other ideas about manhole covers at info@mindstretchingfun.org.