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How do you determine whether to use 22/7 or 3.14 for π ?

User Dsissitka
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Answer:

Use the value the problem statement tells you. Otherwise, use a better approximation.

Explanation:

π ≈ 3.141592653589793238... (a non-repeating infinite decimal)

3.14 = 3.14

22/7 = 3.142857142857_142857

355/113 = 3.14159292035... (a very long repeating decimal)

You can see that the third decimal place is wrong in both of your approximations. The last approximation shown has 7 good decimal digits. A good scientific or graphing calculator will have an internal value for pi that is good to 10 or 12 digits or more (preferably, at least 32 digits).

You should use a value for pi that has at least one more digit of accuracy than the number of significant digits in your answer.

User Rod McLaughlin
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