The transcendence of ПЂ implies that it is impossible to solve the ancient challenge of squaring the circle with a compass and straightedge.ДЄncient civilizations, including the Egyptians and Babylonians, required fairly accurate approximations of ПЂ for practical computations. It is known that ПЂ is a transcendental number: it is not the root of any polynomial with rational coefficients. Its decimal (or other base) digits appear to be randomly distributed, and are conjectured to satisfy a specific kind of statistical randomness. Equivalently, its decimal representation never ends and never settles into a permanently repeating pattern. Д«eing an irrational number, ПЂ cannot be expressed as a common fraction, although fractions such as 22 / 7 are commonly used to approximate it. It is also referred to as Archimedes' constant. The earliest known use of the Greek letter ПЂ to represent the ratio of a circle's circumference to its diameter was by Welsh mathematician William Jones in 1706. The number appears in many formulas in all areas of mathematics and physics.

It is defined in Euclidean geometry as the ratio of a circle's circumference to its diameter, and also has various equivalent definitions. The number ПЂ ( / p aЙЄ/ spelled out as ' pi') is a mathematical constant, approximately equal to 3.14159.

Pi matlab