Convert `pi//6 rad` to degrees.

Options

A. `30^(@)`
B. `80^(@)`
C. `60^(@)`
D. `45^(@)`

Explanation

To convert \(\frac{\pi}{6}\) radians to degrees, we can use the relationship between radians and degrees. The conversion formula is:

\[ 1 \text{ radian} = \frac{360}{2\pi} \text{ degrees} \]

### Step-by-Step Solution:

1. **Identify the Conversion Factor**:
We know that \(2\pi\) radians is equivalent to \(360\) degrees. Therefore, we can express \(1\) radian in degrees as:
\[ 1 \text{ radian} = \frac{360}{2\pi} \text{ degrees} \]

2. **Set Up the Conversion for \(\frac{\pi}{6}\) Radians**:
To convert \(\frac{\pi}{6}\) radians to degrees, we can use the formula:
\[ \text{Degrees} = \left(\frac{360}{2\pi}\right) \times \left(\frac{\pi}{6}\right) \]

3. **Simplify the Expression**:
Substitute \(\frac{\pi}{6}\) into the equation:
\[ \text{Degrees} = \frac{360}{2\pi} \times \frac{\pi}{6} \]

4. **Cancel Out \(\pi\)**:
The \(\pi\) in the numerator and denominator cancels out:
\[ \text{Degrees} = \frac{360}{2 \times 6} \]

5. **Calculate the Denominator**:
Calculate \(2 \times 6\):
\[ 2 \times 6 = 12 \]

6. **Final Calculation**:
Now, divide \(360\) by \(12\):
\[ \text{Degrees} = \frac{360}{12} = 30 \]

Thus, \(\frac{\pi}{6}\) radians is equal to \(30\) degrees.

### Final Answer:
\[ \frac{\pi}{6} \text{ radians} = 30 \text{ degrees} \]