Pi has been known for nearly 4000 years-but even if we count the number of seconds in the year 4000 and calculates pi to a number of places, we would still only be closer to the actual value. is a mathematical constant that is the ratio of the circumference of a circle to its diameter. The letter was read Greek alphabet pi and pi can also be used in writing.
Values that are commonly used are 3.14, or yet to be more precise, it sought to> 1,241,100,000,000 decimal places. Values up to 10 decimal places is 3.14159265358.
, Here is a brief history of finding pi:
Ancient Babylon calculate the area of a circle by taking 3 times the square of its radius, which gives the value of pi = 3. One Babylonian tablet (ca. 1900-1680 BC) shows the value of 3.125 for pi, which is a closer approach.
Rhind Papyrus (ca.1650 BC), there is evidence that the Egyptians calculate the area of a circle with a formula that gives an approximate value for pi 3.1605.
Ancient cultures mentioned above found their approach to measurement. The first calculation of pi carried out by Archimedes of Syracuse (287-212 BC), one of the greatest mathematicians of the ancient world. Archimedes approximated the area of a circle by using the Pythagorean Theorem to find areas of two regular polygons: the polygon inscribed in a circle and polygon in which the circle was circumscribed. Since the actual area of the circle lies between the areas of the inscribed and circumscribed polygons, the area of a polygon provide upper and lower limits for the area of the circle. Archimedes knew that he did not find the value of pi but only an approximation within those limits. In this way, Archimedes shows that pi is between and.
A similar approach is used by Zu Chongzhi (429-501), a brilliant mathematician and astronomer China. Zu Chongzhi will not be familiar with Archimedes' method-but because his book has been lost, little is known of his work. He calculated the value of the ratio of circumference of a circle to its diameter to be. To compute this accuracy for pi, he always started with an inscribed regular 24,576-gon and performed lengthy calculations involving hundreds of square roots carried out to 9 decimal.
Mathematicians began using the Greek letter π in the 1700s. Introduced by William Jones in 1706, the use of this symbol popularized by Euler, who adopted it in 1737. The 18th century French mathematician named Georges Buffon devised a way to calculate pi based on probability. You can try yourself in the Exploratorium's Pi Toss exhibit.
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History Phi π
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