Pi Values in Fraction and Decimal

We usually express the value of Pi in two ways that are

• Value of Pi in Fraction
• Value of Pi in Decimal

Approximate Value of Pi

The value of pi is non-terminating decimal and non-recurring decimal. Howevere, the approximate value of pi (π) is commonly rounded to 3.14. Below is the approx. value of pie in fraction and decimal form.

Value of Pi (π) in Fractions

The pi value can be approximated as the fraction of 22/7. It is known that pi is an irrational number which means that the digits after the decimal point are never-ending and are a non-terminating value. Therefore, 22/7 is used for everyday calculations. ‘π’ is not equal to the ratio of any two numbers, which makes it an irrational number.

The approximate value of Pi is the value of the Pi in fractions or up to 2 decimals places. As Pi is an irrational number its exact value is not known and so we take the approximate value of Pi in our calculation. The approximate value of Pi in terms of fractions is,

π = 22/7 (Approx)

Value of Pi (π) in Decimal

The approximate value of Pi in terms of decimals is

π = 3.14 (Approx)

The pi value up to the first 100 decimal places is:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 . . .

The value of Pi is approximately equal to 3.14159. It is defined as the ratio of circumference of a circle to it’s diameter. If we divide the total circumference of circle with the diameter of circle, then it will always in ratio of 22/7. Pi is denoted by the Greek symbol π.

Its exact value is unknown and can not be calculated by the available means as it is an irrational number, i.e. non-recurring and non-terminating decimal. We define the π as the ratio of the circumference to the diameter of a circle. It is a constant used widely in every branch of Science and Mathematics.

Even if the size of circle is same, the value of Pi will always be same. Finding the exact decimal values of the π is tedious. The value of π up to a million decimal places is found using supercomputers and advanced algorithms. For general use and convenience the value of π in fractions is assumed to be 22/7 and in decimal is assumed to be 3.1415926 . . .