2006-12-24 18:33:52 · 4 answers · asked by niki 1 in Science & Mathematics ➔ Mathematics
It led people to explore the concept of integration since they wanted to find the area of the circle as a means of getting PI.
It also led to the concept of limit as people tried to find the limit of the area of perimeter of a polygon inscribed in a circle as a means of getting the area and circumference of the circle repectively.
Pi also motivated the search for the transcendental numbers and the method to prove their transcendality.
In the course of trying to get the exact value of Pi, many rational apporximations were found that led to the exploration of rational number approximation of irrational numbers and its accuracy.
2006-12-24 18:42:14 · answer #1 · answered by mulla sadra 3 · 2⤊ 0⤋
Yet another "contribution" is that pi is included in Stirling's formula for the factorial, along with many other topics completely unrelated to circles.
PI/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + 1/13 - 1/15 + 1/17 ...
2006-12-25 02:53:46 · answer #2 · answered by Anonymous · 1⤊ 0⤋
It is the ratio of the diameter of a circle divided by it's diameter. Discovered by the poor Archimedes who got killed by a Roman soldier while drawing circles on the sand (at least that is what the legend says). With the new number, Archimedes and his colleagues of the time could calculate the circumference and after the area of circles.
Ever since this number is being used by mathematicians.
2006-12-25 08:29:40 · answer #3 · answered by Arc 2 · 0⤊ 1⤋
the development of number theory.
2006-12-25 02:49:14 · answer #4 · answered by gjmb1960 7 · 1⤊ 0⤋