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# Taylor aarambh pi

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### Taylor aarambh pi

1. 1. The Mysteries of Pi by Taylor and Aarambh
2. 2. Pi’s Early History Different cultures had different values. The Ancient Babylonians used 3 1/8 for their value of pi by taking 3 times the square of a circles radius which was 3 1/8. The Egyptians used (16/9)2 The Chinese said pi was 3. The Hebrews said pi was 3 also, based on what they learned in the bible.
3. 3. More of Pi’s History In Egypt in the 400’s B.C, a mathematician named Euclid proved that the ratio of the circumference to the diameter of a circle is always the same. Archimedes studied in Alexandria. He discovered the value of pi to be about 22/7 We still use this approximation today. . Archimedes’s method for approximating pi: The area of the circle is in the areas of the circumscribed and the inscribed hexagons.
4. 4. Calculating Pi To calculate an approximate value of pi, measure the diameter and the circumference of a circle (using a piece of string perhaps). Divide the circumference of the circle by the diameter. Keep in mind: This is an approximation.
5. 5. Class Activity: #1 ! ! ! "#\$%! Calculate the circumference – C – of the circle above using one of the following equations: C=2πr or C=πd r=radius d=diameter
6. 6. #2 ! ! ! "#\$%! Calculate the area – A – of the circle above using one of the following equations: A=πr2 or A=πd2/ 4 r=radius d=diameter
7. 7. #3 ! ! ! "#\$%&! ! ! "#\$%&! Calculate the volume – V – of the cylinder above using one of the following equations: V=πr2h or V=πd2/ 4h r=radius d=diameter h=height
8. 8. Answers: #1 C = 2πr C =  2 x 3.14 x 3 C = 18.84 inches OR C = πd C = 3.14 x 6 C = 18.84 inches
9. 9. #2 A = πr2 A = 3.14 x r x r A = 3.14 x 3 x 3 A = 28.26 inches OR A = πd2/4 A = 3.14 x d x d /4 A = 3.14 x 6 x 6 / 4 A = 28.26 sq. inches
10. 10. #3 V = πr 2 x h V= 3.14 x 10 x 10 x 30 V = 9420 cubic inches
11. 11. Bibliography The Amazing History of Pi. 23 Apr. 2010. <http://ualr.edu/ lasmoller/pi.html>. The Everlasting Pi. 29 Apr. 2010. <http://abishek.webs.com/ usesofpi.htm>.