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Everything about Pi

  By Alex Lampell
What is Pi?
Pi is a letter in the
greek alphabet, but it
is used to represent the
ratio of the
circumference of a
circle to its diameter.
Pi looks like this: π
Being an irrational
            number
 Pi is an irrational
number which means
that its exact number
will never be known
because the number just
goes on and on.
Also pi’s numbers are in
a random order and
never are in a pattern.
Vocabulary
Here are some examples of words you should know when
you are dealing with pi:
Radius= a straight line extending from the center of a
circle to a point in the circumference of the circle
Diameter= a straight line passing through the center of
a circle which is connecting two points in the
circumference
Circumference= the outer boundary line of a circle
Area= the amount of space inside a flat object such as a
circle or a rectangle.
How pi is used

Pi can be used to find
the circumference of a
circle by using the
formula shown below.
In the formula:
c=2•π•r   c=circumference
          π=pi
          r=radius
Example
Example: The radius of a circle is 3.
What is its circumference?
Solution: C=2•π•r
                                   r=3 cm
          C=2•π•3 cm
          C=6 cm•3.14
          C=18.84 cm
How pi is used #2
Another way pi
can be used is
to find the area
of a circle by
using this
formula:
     2    a=area
a=π•r     π=pi
           2
          r =r squared
Example
Example: The radius of a circle is 5 cm.
What is the area of the circle?
                 2
Solution:   a=π•r2
            a=π•5 cm          r=5 cm
            a=π•25 cm
            a=3.14•25 cm
            a=78.5 cm
How pi is used #3

You can also use pi
to find the volume
of a cylinder by
using this
formula:
     2     v=volume
v=π•r •h   π=pi
           r =radius
           h=height
Example
Example: The radius of this cylinder is 2
and its height is 4. What is its volume?
               2
Solution:v=π•r •h             r=2
              2
         v=π•2 •4
                                      h=4
         v=π•4•4
         v=π•16
         v=3.14•16
         v=50.24
The Beginning of Pi
 The first recorded equation
 of pi was about 4,000 years
 ago from the Babylonians
 and the Egyptians. The
 number they got was close
 to pi, but not completely
 accurate.
 Babylonians thought that
 pi was 3.125
 Egyptians thought that pi
 was 4
More History
Many other cultures had
known about the significance
of pi and had gotten a rough
estimate like:

The Hebrews thought it was 3
as well as the Chinese. The
Torah mentions the presence of
pi. They had great
mathematicians such as Zu
Chongzhi who were able to get a
range of where pi is.
How pi is used in our
    daily world
Pi is so important because it
helps use find the area and
circumference of a circle.
Because it can do this, then
it can help us in a  lot of
other things such as science
and architecture and
everything because circles
and spheres are in our daily
life.
Extra things about pi
Since pi is such a big              "Slices of Pi"
                                         -author unknown
part of our lives we even
                            No one will find a pattern in pi
have a special day for it   This number has come out of nowhere
on March 14                 All one can do is close a book and sigh
                            You should be able to tell with your eye
                            A  rhythym here isn't fair
In this day people do
                            This number can make a simple brain fry
fun things with pi like     Though there are those who don't care
                            And don't give it a thought or a sigh!
write poems or make         So, many a person will surely try
song or make pi t-shirts    There are many who have dared
                            But no one will find a pattern in pi
                            A bottomless pit, unconquered and dry
                            An unexplainable tear
                            A satisfactory conclusion is a sigh
                            Since no one will find the (do you see it?) the
                            pattern in pi...
Bibliography
Websites                                                  Pictures
http://www.ehow.com/
how_5157582_calculate-pi.html
                                              http://web.mac.com/ihor12/home/PI_DAY/Pi_files/
http://ualr.edu/lasmoller/pi.html                              pi3.14159etc.jpg

http://                                      http://www.usefulfacts.co.uk/web_images/
3.141592653589793238462643383279502          greek_alphabet.gif
884197169399375105820974944592.com/
                                              http://www.mathsisfun.com/numbers/images/pi.gif
http://www.facade.com/legacy/amiinpi/
                                             http://media.photobucket.com/image/area%20circle
                                             %20pi/maryhope8/2008%2520Barbury%2520Castle
http://www.frenchshore.k12.nf.ca/roncalli/
                                             %2520Pattern/UK2008BarburyPiCircleAreaLo.jpg
projects/pi_day/poems.htm
                                             http://www.basic-mathematics.com/images/
http://mathforum.org/dr.math/faq/
                                             cylindervolume.gif
faq.pi.html
                                             http://www.ancient-egypt-online.com/images/ancient-
http://answers.yahoo.com/question/index?                        egypt-map.jpg
qid=20090311200542AABcXHc                    http://www.vaticanassassins.org/wp-content/uploads/
                                                     2010/08/Map-Babylonian-Empire.gif
http://www.brainpop.com/math/
numbersandoperations/pi/                     http://www.chinese.cn/people/en/image/attachement/
                                              jpg/site3/20091029/0023ae9bcf230c53b4991e.jpg
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Alex l pi

  • 1. Everything about Pi By Alex Lampell
  • 2. What is Pi? Pi is a letter in the greek alphabet, but it is used to represent the ratio of the circumference of a circle to its diameter. Pi looks like this: π
  • 3. Being an irrational number Pi is an irrational number which means that its exact number will never be known because the number just goes on and on. Also pi’s numbers are in a random order and never are in a pattern.
  • 4. Vocabulary Here are some examples of words you should know when you are dealing with pi: Radius= a straight line extending from the center of a circle to a point in the circumference of the circle Diameter= a straight line passing through the center of a circle which is connecting two points in the circumference Circumference= the outer boundary line of a circle Area= the amount of space inside a flat object such as a circle or a rectangle.
  • 5. How pi is used Pi can be used to find the circumference of a circle by using the formula shown below. In the formula: c=2•π•r c=circumference π=pi r=radius
  • 6. Example Example: The radius of a circle is 3. What is its circumference? Solution: C=2•π•r r=3 cm C=2•π•3 cm C=6 cm•3.14 C=18.84 cm
  • 7. How pi is used #2 Another way pi can be used is to find the area of a circle by using this formula: 2 a=area a=π•r π=pi 2 r =r squared
  • 8. Example Example: The radius of a circle is 5 cm. What is the area of the circle? 2 Solution: a=π•r2 a=π•5 cm r=5 cm a=π•25 cm a=3.14•25 cm a=78.5 cm
  • 9. How pi is used #3 You can also use pi to find the volume of a cylinder by using this formula: 2 v=volume v=π•r •h π=pi r =radius h=height
  • 10. Example Example: The radius of this cylinder is 2 and its height is 4. What is its volume? 2 Solution:v=π•r •h r=2 2 v=π•2 •4 h=4 v=π•4•4 v=π•16 v=3.14•16 v=50.24
  • 11. The Beginning of Pi The first recorded equation of pi was about 4,000 years ago from the Babylonians and the Egyptians. The number they got was close to pi, but not completely accurate. Babylonians thought that pi was 3.125 Egyptians thought that pi was 4
  • 12. More History Many other cultures had known about the significance of pi and had gotten a rough estimate like: The Hebrews thought it was 3 as well as the Chinese. The Torah mentions the presence of pi. They had great mathematicians such as Zu Chongzhi who were able to get a range of where pi is.
  • 13. How pi is used in our daily world Pi is so important because it helps use find the area and circumference of a circle. Because it can do this, then it can help us in a  lot of other things such as science and architecture and everything because circles and spheres are in our daily life.
  • 14. Extra things about pi Since pi is such a big "Slices of Pi"      -author unknown part of our lives we even No one will find a pattern in pi have a special day for it This number has come out of nowhere on March 14 All one can do is close a book and sigh You should be able to tell with your eye A  rhythym here isn't fair In this day people do This number can make a simple brain fry fun things with pi like Though there are those who don't care And don't give it a thought or a sigh! write poems or make So, many a person will surely try song or make pi t-shirts There are many who have dared But no one will find a pattern in pi A bottomless pit, unconquered and dry An unexplainable tear A satisfactory conclusion is a sigh Since no one will find the (do you see it?) the pattern in pi...
  • 15. Bibliography Websites Pictures http://www.ehow.com/ how_5157582_calculate-pi.html http://web.mac.com/ihor12/home/PI_DAY/Pi_files/ http://ualr.edu/lasmoller/pi.html pi3.14159etc.jpg http:// http://www.usefulfacts.co.uk/web_images/ 3.141592653589793238462643383279502 greek_alphabet.gif 884197169399375105820974944592.com/ http://www.mathsisfun.com/numbers/images/pi.gif http://www.facade.com/legacy/amiinpi/ http://media.photobucket.com/image/area%20circle %20pi/maryhope8/2008%2520Barbury%2520Castle http://www.frenchshore.k12.nf.ca/roncalli/ %2520Pattern/UK2008BarburyPiCircleAreaLo.jpg projects/pi_day/poems.htm http://www.basic-mathematics.com/images/ http://mathforum.org/dr.math/faq/ cylindervolume.gif faq.pi.html http://www.ancient-egypt-online.com/images/ancient- http://answers.yahoo.com/question/index? egypt-map.jpg qid=20090311200542AABcXHc http://www.vaticanassassins.org/wp-content/uploads/ 2010/08/Map-Babylonian-Empire.gif http://www.brainpop.com/math/ numbersandoperations/pi/ http://www.chinese.cn/people/en/image/attachement/ jpg/site3/20091029/0023ae9bcf230c53b4991e.jpg
  • 16. Thank You For Watching

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