How to Calculate Value of Pi?
Pi is an irrational number and it has an infinite number of decimal values that are non-repeating,. There are various methods to calculate the value of pi up to a hundredth of a place The most common method to find the value of pi is taking the ratio of the Circumference of the circle to the diameter of the circle.
π = Circumference of Circle/Diameter of Circle
Thus, by drawing various circles and then taking the ratio of the Circumference and the diameter of the circle we get the value of the circle. The table added below shows the circumference of the circle, the diameter of the circle and their ratio as well.
Circumference(C) |
Diameter(D) |
C/D |
---|---|---|
3.1 |
1 |
3.1 |
6.24 |
2 |
3.12 |
9.378 |
3 |
3.126 |
12.5678 |
4 |
3.141 |
15.7075 |
5 |
3.1415 |
As we take higher values of circumference and diameter then we find to get the more accurate value of pi.
Value of Pi
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 . . .
Table of Content
- What is Pi?
- Pi Values in Fraction and Decimal
- Formula of Pi
- How to Calculate the Value of Pi?
- Different Values of Pi
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