Why the value of 'pi' is taken as 22/7

Because some people can't handle decimal numbers, or cannot fathom what an irrational number is. We had a state government (North Dakota) in the US that once passed a law that stated for legal purposes, the ratio to the circumference of a circle to its diameter was to be 3, so they ruled PI=3; that is much easier than 22/7, you of course know simple folks don't do fractions.

Such is life, simpletons in politics.

Bob, I always thought that happened in Indiana.

https://en.wikipedia.org/wiki/Indiana_Pi_Bill

22/7 is the best approximation to π using at most 2 digits as the numerator of the fraction.

If you allow 3 digits, the best fraction is
355/113 which differs from π by only
.0000000266..
This fraction also has a nice cyclic pattern, and is easy to remember that way.

The value of π (pi) is an irrational number, which means it cannot be expressed as a simple fraction or ratio. Its decimal representation goes on indefinitely without repeating. The approximation 22/7 is commonly used to represent π because it is a simple fraction and is close to the actual value of π.

To understand why 22/7 is used as an approximation for π, we can look at the relationship between the circumference of a circle and its diameter. Pi is defined as the ratio of the circumference of a circle to its diameter, which is approximately 3.14159.

The fraction 22/7 is close to this value and provides a relatively simple approximation. It has been used for many centuries as a way to estimate π in various mathematical calculations and formulas.

However, it's important to note that 22/7 is not the exact value of π. The true value goes on infinitely and has been calculated to millions (and even billions) of decimal places using advanced mathematical algorithms and supercomputers.