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

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.

Different Values of Pi

Other then fractions and decimals there are some other values of Pi as well.

Value of Pi in Degree

The value of Pi in degrees can easily be found using the relation, of the ratio of circumference of the circle and the diameter of the circle. We know that the circumference of the circle is 2πr, and the diameter of the circle is 2r where r is the radius of the circle. Also, incase of the complete circle the angle subtended at the centre of the circle is 360°also we have two half circle in a circle that is divided by a diameter.

Now, then the ratio of the circumference and the diameter gives the value of pi.

2πr/2r = 360°/2

π radians = 180°

Also Check,

• Is pi a rational or irrational number?
• Rational Numbers
• Whole Numbers
• Terminating and Non-Terminating Decimals

Solved Examples on Pi Value

Example 1: Find the circumference of a circle which has a radius of 12 cm.

Solution:

Given,

• Radius of Circle(r) = 12 cm

Circumfernce of Circle(C) = 2πr

Value of Pi = 3.14

⇒ C = 2 ⨉ (3.14) ⨉ (12)

⇒ C = 75.36 cm

Example 2: Find the area of a circle which has a radius of 8 cm.

Solution:

Given,

• Radius of Circle(r) = 8 cm

Area of Circle(A) = πr²

As, Value of Pi = 3.14

⇒ A = (3.14) ⨉ (8)²

⇒ A = 200.96 cm²

Example 3: Find the circumference and the area of the circle which has a radius of 9 cm.

Solution:

Given,

• Radius of Circle(r) = 9 cm

Circumfernce of Circle(C) = 2πr

Area of Circle(A) = πr²

As, Value of Pi = 3.14

⇒ C = 2 ⨉ (3.14) ⨉ (12)

⇒ C = 56.52 cm

⇒ A = π ⨉ (9)²

⇒ A = 254.34 cm²

Practice Problems on Value of Pi

Problem 1: Calculate the circumference of a circle with a radius of 5 units. [Circumference = 2πr.]

Problem 2: If the diameter of a circle is 12 inches, what is its circumference? [Use the formula C = πd.]

Problem 3: Given the area of a circle is 64 square meters, find the radius. [The formula for the area of a circle is A = πr².]

Problem 4: The side of a square is equal to the diameter of a circle. If the circle’s area is 144π square units, what is the side length of the square?

Problem 5: The Leibniz formula for π alternates signs in an infinite series: π/4 = 1 – 1/3 + 1/5 – 1/7 + 1/9 – . . . Calculate an approximation of π using the first 10 terms of this series.

Value of Pi – FAQs

What is Pi in Math?

Pi(π) in Mathematics is a constant in mathematics that has highest importance. It is used for various purposes, i.e it is used for finding the area of the circle, circumference of the circle, and for other puposes.

What is the Symbol of Pi?

Pi in mathematics is denoted using Greek letter, π.

What is the Decimal Value of Pi?

Pi(π) is an irrational number and it has a non-terminating and non-repeating dcimal value and its approximate value is, 3.1415926535 . . .

What is the Value of Pi in Fraction?

Value of Pi(π) is approximated in many rational numbers, such as 333/106, 355/113, 103993/33102, etc. But out of all these Fractions, the most popular one is 22/7 which approximates the value of Pi(π), up to 2 decimal places.

What is the Approximate Value of Pi?

The most famous approximation of Pi is 3.14(in decimals) and 22/7 (in fractions).

What is the Exact Value of Pi?

As Pi is an Irrational Number, we can’t find its exact value in the decimal form we can only approximate it to some certain number of digits.

Is Pi an Irrational Number?

Yes, Pi(π) is an Irrational Numebr as it’s decimal expansion is non-terminating and non-repeating.

Who Discovered the Value of Pi?

Archimedes of Syracuse is credited with one of the first calculations of the Value of Pi.

How is the Value of Pi Calculated?

As Pi can be defined as the ratio between the circumference and diameter of any circle, we can use measurements of any circle to approximately calculate the value of Pi.

Why is π = 22/7?

22/7 is the simplest approximation of Pi, which can approximate the value to 2 decimal Places. Thus, at the academic level, π = 22/7 is used.