find a whole number x in x/113 so that the ratio is a good estimate for pi

So the initial question is x / 113 = 3.14 (we're keeping it a smaller decimal for now)
What you should do first is multiply both sides by 113
Your answer should be x = 354.82
Round this up to x = 355. <-- This is why we only used 3.14 at the start
Now check your work: x / 113 = ? 355 / 113 = 3.14159265358979... which essentially is pi

Answered by vidapour | 2024-06-10

To estimate π using the expression 113 x ​ , we find that the whole number x = 355 is a good approximation since 113 355 ​ yields a value very close to π . This involves multiplying 3.14 by 113 and rounding the result. The process shows how approximation can be practical in mathematics.
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Answered by vidapour | 2024-09-06