Question

Choose which statements are true about Pi. Check all that apply.
Piis a whole number.
Piis double the radius.
Piis approximately 3.14.
Pirepresents the ratio of the circumference to the diameter.
Piis approximately StartFraction 22 over 7 EndFraction

Answer 1

Let's evaluate each statement about Pi (π):

1. **Pi is a whole number.**
- **False.** Pi is an irrational number, which means it cannot be expressed as a whole number.

2. **Pi is double the radius.**
- **False.** Pi is not double the radius; instead, it is a constant that relates the circumference of a circle to its diameter. The circumference (C) of a circle is given by the formula \( C = 2\pi r \), where \( r \) is the radius.

3. **Pi is approximately 3.14.**
- **True.** Pi is approximately equal to 3.14, although its actual value is an infinite, non-repeating decimal.

4. **Pi represents the ratio of the circumference to the diameter.**
- **True.** This is the definition of Pi: \( \pi = \frac{C}{d} \), where \( C \) is the circumference and \( d \) is the diameter of a circle.

5. **Pi is approximately \(\frac{22}{7}\).**
- **True.** \(\frac{22}{7}\) is a common fractional approximation of Pi, although it is not exact.

### Summary:
The true statements about Pi are:
- Pi is approximately 3.14.
- Pi represents the ratio of the circumference to the diameter.
- Pi is approximately \(\frac{22}{7}\).