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The Definition of Pi (π)
publish date: 2026/05/17 03:18:33.278680 UTC
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The ratio of the distance around a circle (its circumference \(C\)) to the length of its diameter \(D\) is always the same constant, called pi:
\[\pi = \frac{C}{D} \approx 3.14159265\ldots\]
Which of the following is not a commonly used approximation for π?
Correct Answer
\(\dfrac{1}{3}\)
Explanation
The two commonly used approximations of \(\pi\) are 3.14 and \(\frac{22}{7}\). The exact value of \(\pi = 3.14159265\ldots\) is a non-terminating, non-repeating decimal. \(\frac{1}{3}\) is not an approximation of π.
Reference
Mathematics for college students