Question

You want to calculate the circumference of a circular skating pond by multiplying the diameter times pi.Which of the following values
of pi will give the most accurate answer: 3.14, 3.14159, 22/7, or 3.1416?

Answer 1

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:

1. **3.14**
2. **3.14159** (this is the most accurate representation of pi)
3. **22/7** (which is approximately 3.142857)
4. **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**.