To determine which of the provided values of pi will give the most accurate calculation of the circumference of a circular skating pond, we can compare the values with the true value of pi, which is approximately 3.14159.
Here are the options given:
- 3.14
- 3.14159 (this is the most accurate representation of pi)
- 22/7 (which is approximately 3.142857)
- 3.1416 (which is rounded to four decimal places)
To assess the accuracy of these values compared to the true value:
- 3.14 is less accurate than 3.14159.
- 3.14159 is the exact value to five decimal places and is very accurate.
- 22/7 is slightly more than the true value of pi, thus less accurate.
- 3.1416 is rounded but very close to 3.14159, though it loses some precision.
Thus, the value that will give the most accurate calculation for the circumference is 3.14159.