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
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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