To find the most accurate value of \(\pi\) for calculating the circumference of the circular skating pond, we can compare the given approximations to the actual value of \(\pi\), which is approximately \(3.14159265\).
Here are the values you've provided:
- \(3.14\) – This is a common approximation of \(\pi\), but it is not very precise.
- \(3.14159\) – This is more accurate and matches the first five decimal places of \(\pi\).
- \(22/7\) – This fraction approximates \(\pi\) as \(3.142857...\), which is slightly larger than the actual value of \(\pi\) and less accurate than \(3.14159\).
- \(3.1416\) – This is quite close and represents \(\pi\) accurate to four decimal places.
Among the options, \(3.14159\) provides the most accurate representation of \(\pi\) for your calculation.