Did Apolonius make the correct definition of a circle without the Use of Pi.?
359053
You don't need pi to define a circle. A circle is a locus traced out such that every point is equidistant from a single point, the centre.
97735
pi is a greek word taht denotes 22/7 and pi is not exactly equal to 3.14:Actually 4 every possible circle in the world, when the circumference is divided by the same circle's diameter(d) the result is constant and equal to 22/7, which is a universal constant.It is from this basic idea that the circumference(c) of any circle C=pi*d evolved
268937
No. There are 360 degrees in a circle.
933605
I suppose advantages are bing able to calculate the circumfrence and area of the circle faster. You can go n to calculate pi to more decimal places... otherwise, you're wasting your time. Go on and study more advanced math!! rock on!
280930
I don't know this equation, but pi is the greek letter P. it can be used for any variable, but since it is widely accepted as the constant 3.1415 (= a circles circumference divided by its diameter) this would be a dumb decision.\n\nFor example when you need to sum many values, you use the Sigma, but for multiplying many values you use the big PI.\n\ngrtz,\nGB
458186
The value of π has been known in some form since antiquity. As early as the 19th century BC, Babylonian mathematicians were using π=25/8, which is within 0.5% of the exact value.\n\nThe Egyptian scribe Ahmes wrote the oldest known text to give an approximate value for π, citing a Middle Kingdom papyrus, corresponding to a value of 256 divided by 81 or 3.160.\n\nIt is sometimes claimed that the Bible states that π=3, based on a passage in 1 Kings 7:23 giving measurements for a round basin as having a 10 cubit diameter and a 30 cubit circumference. Rabbi Nehemiah explained this by the diameter being from outside to outside while the circumference was the inner brim; but it may suffice that the measurements are given in round numbers. Also, the basin may not have been exactly circular.\n\nThe Chinese mathematician Liu Hui computed π to 3.141014 (good to three decimal places) in AD 263 and suggested that 3.14 was a good approximation.\n\nThe Indian mathematician and astronomer Aryabhata in the 5th century gave the approximation π = 62832/20000 = 3.1416, correct when rounded off to four decimal places.\n\nThe Chinese mathematician and astronomer Zu Chongzhi computed π to be between 3.1415926 and 3.1415927 and gave two approximations of π, 355/113 and 22/7, in the 5th century.\n\nThe Indian mathematician and astronomer Madhava of Sangamagrama in the 14th century computed the value of π after tranforming the power series expansion of π/4 into the form\n\nπ = √12(1 - 1/(33) + 1/(532) - 1/(733) + ... \nand using the first 21 terms of this series to compute a rational approximation of π correct to 11 decimal places as 3.14159265359. By adding a remainder term to the original power series of π/4, he was able to compute π to an accuracy of 13 decimal places.\n\nThe Persian Muslim mathematician and astronomer Ghyath ad-din Jamshid Kashani (1350-1439) correctly computed π to 9 digits in the base of 60, which is equivalent to 16 decimal digits as:\n\n2 π = 6.2831853071795865 \nThe German mathematician Ludolph van Ceulen in 1615 computed the first 32 decimal places of π. He was so proud of this accomplishment that he had them inscribed on his tombstone.\n\nIn 1789, the Slovene mathematician Jurij Vega improved John Machin's formula from 1706 and calculated the first 140 decimal places for π of which the first 126 were correct [1] and held the world record for 52 years until 1841, when William Rutherford calculated 208 decimal places of which the first 152 were correct.\n\nThe English amateur mathematician William Shanks, a man of independent means, spent over 20 years calculating π to 707 decimal places (accomplished in 1873). In 1944, D. F. Ferguson found (with the aid of a mechanical desk calculator) that Shanks had made a mistake in the 528th decimal place, and that all succeeding digits were fallacious.
482997
because the definition of pi is the ratio of a circle's circumference to its diameter, or \n\npi = circumfrance:diameter\n\nthis ratio always equals 3.14.... , it's a constant
132539
actually a circle is made up of an infinite set of POINTS, not lines.
481766
By definition, pi is the ratio of the circumference of a circle to its diameter. Pi is always the same number, no matter which circle you use to compute it. \nFor the sake of usefulness people often need to approximate pi. For many purposes you can use 3.14159, which is really pretty good, but if you want a better approximation you can use a computer to get it. Here's pi to many more digits: 3.14159265358979323846.
232073
Pi is what is know as an "irrational" number because it cannot be written as a ratio of two integers.  However, it can be easily defined as the ratio of the circumference of a circle (the distance around the circle) to the diameter of the circle (the circle's width).  This makes it an extremely useful number to "approximate" (since it cannot be expressed fully with a 100% accurate number) when dealing with anything that is cyclical (planetary orbits or repeating patterns for example).  I've included a link with more fun facts.
1006504
A circle has no sides. A side is defined by a linear line. A circle has no linear lines.
129445
Pi is the ratio of the circumferance of a circle to its diameter.  The following equation is for the area of a circle:    A = pi*r^2\n\nThe Math Forum website has a very complete and east-to-understand explanation.
510980
yeah, looks like the circle is just a 0, which would mean x^0 + 7 = 1 + 7 = 8.  It does look weird, though.
42714
3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 \n\n= "pi."  This number is calulated by dividing a circle's circumference by its diameter.  This number, or ratio, holds steady for all sizes of circles.
648028
Pi is the ratio of the circumference of a circle to its radius.  Of course, this ratio exists whether we're aware of it or not, whether we think it's important or not.  Many ancient cultures had some sort of approximation to pi.  I don't know if the culture that built Stonehenge was one.  But I do know that there is a tendency to "see" a lot of things in an important monument like Stonehenge that may or may not have been intended by its makers.
383274
well that question cant be answered b/c only a circle has a radius nothing else
406822
It it considered that the first proposal of using symboll "pi"  as the ratio of the circumference of a circle to its diameter was firstly appeared in the works of William Jones. But he was  a Welsh mathematician, not Swiss.\n\nFrom section "History of the notation" of first attached wiki article:\nThe symbol "π" for Archimedes' constant was first introduced in 1706 by William Jones when he published A New Introduction to Mathematics, although the same symbol had been used earlier to indicate the circumference of a circle. The notation became standard after it was adopted by Leonhard Euler.