Hi t d thHistory and the approximations of πapproximations of π

What is Pi?What is Pi?

We know we use it for circles cylindersWe know we use it for circles, cylinders, spheres, and cones to calculateAreaAreaVolumeSurface AreaCircumference

History of πHistory of

In approximately 3500 B.C Babylonians wanted

π

In approximately 3500 B.C Babylonians wanted to calculate the area of a circleCommon ratio between circumference and diameterFirst approximation was Pi=3pp

Archimedes (287 B C ) method for computing πArchimedes (287 B.C.) method for computing

The perimeter of a regular polygon of n sides

π

The perimeter of a regular polygon of n sides inscribed in a circle is smaller than the circumference of the circle whereas the perimeter of a similar polygon circumscribed about the circle is greater than its circumference

Archimedes resultsArchimedes results

Archimedes concludes that Pi is greaterArchimedes concludes that Pi is greater than 3+10⁄ 71 but less than 3+1 ⁄ 7

oror 3.14084< Pi < 3.142858 in decimal notation

Approximations of πApproximations of

1706- 100 correct decimal places were

π1706 100 correct decimal places were found1841 152 correct decimal places were1841- 152 correct decimal places were found1873 707 t d i l l1873- 707 correct decimal places were found

http://www.youtube.com/watch?v=VqpWETqoD5Q&featup y qp q Qre=relatedhttp://pi-world-ranking-list.com/lists/memo/index.html