The value of Pi (π) is the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14159. In a circle, if you divide the circumference (is the total distance around the circle) by the diameter, you will get exactly the same number. Whether the circle is big or small, the value of pi remains the same. The symbol of Pi is denoted by π and pronounced as “pie”. It is the 16th letter of the Greek alphabet and used to represent a mathematical constant.
Pi Values in Decimal and Fraction
Pi (or π) is mainly expressed in two different ways which are:
- Value of pi in decimal
- Value of pi in fractions
Value of Pi (π) in Decimals
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 7067
Value of Pi (π) in Fractions
The pi value in fraction is 22/7. It is known that pi is an irrational number which means that the digits after decimal point never end being a non-terminating value. Therefore, 22/7 is used for everyday calculations. π is not equal to the ratio of any two number which makes it an irrational number.
|All Values of Pi (π)|
How to Calculate the Value of Pi? (Pi Formula)
To calculate the vaue of π, the pi formula is used which is:
π = (Circumference/ Diameter)
Or, π = 3.14159 = 22/7
Example Questions Using the Pi Value
Question 1: A boy walks around a circle which has a diameter of 100 m, how far the boy has walked?
Distance walked = Circumference
Circumference = π × 100m = 314.159 m
Therefore, circumference = 3.14m
Question 2: Calculate the circumference of the circle.
We know that the Circumference of a circle is the distance around a circle.
The Circumference formula is given by c = π × d.
Therefore, when substitute the value of d, we get;
C = π x 18
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