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
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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