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What Is Pi Square ?

What is pi (the symbol is the small classic letter )? It is equal to C/d, or C/2r, where C is the circumference of any circle, and d is its diameter, and r is its radius.
Euclid proved that this balance (C/d) is always the same, no matter the size of the circle. What he did was put down similar regular polygons in any two circles. Then, he increased the number of sides of the inscribed regular polygons. He healthy that as the number of sides increased, the perimeter of the inscribed polygon gets next and closer to the circumference of the circle. He also showed that the perimeters of the similar polygons were proportionate to the radii of the circles in which they were inscribed. And so, C is proportional to r, in another(prenominal) course C/r is a constant. By convention, pi=C/2r. And we can use that as our definition of pi.
Definition of pi: pi=C/2r
Since we know pi to many ten-fold places, the following version of the same equation becomes fairly useable:
Circumference formula: C=2(pi)r

Value of pi:
Archimedes approximated pi, by inscribing and circumscribing a circle with polygons of many sides. He showed that 3+10/71<pi<3+1/7 (in other words, 3.1408450704225 . . . < pi < 3.142857142857142857 . . . ).



Now, pi is approximated by computers, using infinite series.
Pi is about:
3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 82148 08651 . . .
One of my mathematics teachers (in High School, as I recall) told us that pi was exactly 22/7 (3+1/7), which is 3.142857142857142857 . . . Notice that it repeats every six digits. It is not bad (three digits of accuracy), unless certainly not exact. By the way, the square root of 10 is fairly close to pi: 3.162277660168... (only two digits of accuracy). Using sqr() as the square root function, sqr(3)+sqr(2)=3.146264369942 . . . (about three digits of accuracy). Fiddling around with ratios, I found that 20/9...If you want to get a dependable essay, order it on our website: Orderessay



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