The importance of pi
Pi is the ratio of the circumference to the diameter of a circle, which is generally expressed by the Greek letter π and is a common mathematical constant in mathematics and physics. π is also equal to the ratio of the area of a circle to the square of its radius. Accurate calculation of geometric shapes such as circle perimeter, circle area and sphere volume is the key value. In the analysis, π can be strictly defined as the smallest positive real number x that satisfies 0, such as sinx.
Pi is expressed by the Greek letter π pronounced pài, which is a constant equal to about 3 points 14 1592654, representing the ratio of circumference to diameter. It is an irrational number, that is, an infinite cycle decimal. In daily life, we usually use 3 points 14 to express pi for approximate calculation. The decimal point of 3: 14 1592654 is enough for general calculation.
John wallis, a British mathematician, published a mathematical monograph in which he deduced a formula and found that pi is equal to the product of infinite fractions. 20 15 scientists at the university of rochester found a formula with the same pi in the quantum mechanical calculation of hydrogen atomic energy level. On August 8, 20021,18, pi was calculated to 6.28 trillion decimal places, setting a record for the most accurate value of this constant so far.