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					NAME:                                                                DATE:

             SCIENTIFIC PROOF OF MATHEMATICAL CONSTANT PI

Purpose of the Experiment:



Procedure:
             1. Measure circumference of cylinder
                        a. Wrap string around body
                        b. Measure length of string
                        c. Record as String Circumference
                        d. Mark point on body
                        e. Place cylinder on paper and mark paper in line with mark on body
                        f. Roll cylinder from mark on body back to mark on body
                        g. Mark paper in line with mark on body
                        h. Measure distance between marks on paper
                        i. Record as Rolled Circumference
             2. Measure and Record diameter of cylinder
             3. Repeat Steps I and 2 for each cylinder.


Materials:

Table I: Data Collection

             Circumference (cm)     Diameter
Cylinder     String    Rolled        (cm)
small
medium
large


Table II: Calculation of Pi

Cylinder String         Rolled
small      #DIV/0!       #DIV/0!
medium     #DIV/0!       #DIV/0!
large      #DIV/0!       #DIV/0!
Sample Calculation:

Table III: Comparison of Methods - % Deviation From Pi 3.14

Cylinder     String     Rolled
small         #DIV/0!    #DIV/0!
medium        #DIV/0!    #DIV/0!
large         #DIV/0!    #DIV/0!
1. Add Purpose above procedure and material list below.
2. Page 2 starts with Table I
3. Add sample calculation under Table II.
4. Put the graph Circumference vs Diameter on this page below Tables.
(use Table I to make the Graph)
5. Add numbers and a sentence or two under the graph
that sums up how the slope verifies that pi=c/d.
6. Page 3 Starts with Table III
Under Table III type All Values Fell Within an Acceptable Range of +/-        %.
Use Whole number multiples of 5 only
7 Make a Bar chart for Table III
there is a sample on back bulletin board by window
8. Using Table III and the Bar Chart
explain your results (under the Chart) - 3 to 6 sentence paragraph
one method always best? One cylinder?
no pattern? What does your data show?
9. Add conclusion - type exactly what I wrote
Conclusion:
   The purpose of the experiment has been satisfied. The formula pi = circumference/diameter
does approximate the value of pi 3.14. Three objects and two methods were used
 to validate the results. Further validation was given by the interpretation of data
calculated using the mathematical formulas for slope and % deviation

				
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posted:12/1/2011
language:English
pages:2