Question

An irrational number, d, has a value such that
6 < d < 7. Which of the following is a possible value for d?

A. Square root of 6.2
B. 2pi
C. Square root of 13
D. 6pi

Answer 1

To determine which of the options provides a value for \( d \) that lies within the range \( 6 < d < 7 \), we will evaluate each option.

A. **Square root of 6.2**
\[
\sqrt{6.2} \approx 2.49
\]
This value does not satisfy \( 6 < d < 7 \).

B. **2π**
Knowing that \( \pi \approx 3.14 \):
\[
2\pi \approx 2 \times 3.14 \approx 6.28
\]
This value satisfies \( 6 < d < 7 \).

C. **Square root of 13**
\[
\sqrt{13} \approx 3.61
\]
This value does not satisfy \( 6 < d < 7 \).

D. **6π**
\[
6\pi \approx 6 \times 3.14 \approx 18.84
\]
This value does not satisfy \( 6 < d < 7 \).

After evaluating all options, the only possible value for \( d \) that lies within the range \( 6 < d < 7 \) is:

**B. 2π**