# Value Of Pi

## Trigonometry # Value Of Pi

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. Value Of Pi

## 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 fraction

### Value of Pi (π) in Decimal

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 the decimal point are never-ending and 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)
In Decimal 3.14
In Fraction 22⁄7

### How to Calculate the Value of Pi? (Pi Formula)

To calculate the value of π, the pi formula is used, which is:

π = (Circumference/ Diameter)

Or, π = 3.14159 = 22/7

### Examples 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?

Solution:

Distance walked = Circumference.

Circumference = π × 100m = 314.159 m

Therefore, distance walked =314.159 m

Question 2: Calculate the circumference of the circle. Solution:

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

=3.14 x 18

= 56.52 cm

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## Frequently Asked Questions

### What is the exact value of Pi and why?

The pi is an irrational number and does not have an exact value. In general, the value of π is considered as 3.14 or 22/7 for various mathematical calculations.

### What is Pi and how it originated?

Pi is a mathematical concept which represents the ratio between the circumference and the diameter of a circle. The pi value was first calculated by Archimedes of Syracuse. The symbol π was first popularized by Leonhard Euler in 1737.

### What is the formula for calculating pi?

The pi is a ratio and is obtained from a circle. If the diameter and the circumference of a circle are known, the value of pi will be as π = Circumference/ Diameter.