Why is value of πtaken as22/7
Answers
First and foremost, the value of π is NOT 227. It is the ratio of the circumference and diameter of a circle, in decimal expression, it is 3.1415925…
If we express it using continued fraction, we can write, π=3+17+115+11+1292+⋯.
What happens if you cut the fraction in the first step? You guessed it, 227. It's a pretty good approximation because 15 is a pretty large number. Using that logic, what should be a better approximation? Obviously, we would have to cut just before 292 and that'll give us 355113, a well known approximation for π discovered by the fifth century Chinese mathematician Zu Chongzhi. In this way, cutting along this fraction gives us many useful approximations of π. If you ask me though, nothing surpasses the beauty of the infinite.