Convert 18 degree into radians

Options

A. `(pi)/(10)rad`
B. `(pi)/(180)rad`
C. `(pi)/(18)rad`
D. `(18)/(pi)`

Explanation

To convert 18 degrees into radians, we can follow these steps:

### Step-by-Step Solution

1. **Understand the Relationship Between Degrees and Radians**:
We know that a full circle is 360 degrees, which is equivalent to \(2\pi\) radians. This gives us the relationship:
\[ 360^\circ = 2\pi \text{ radians} \]

2. **Find the Conversion Factor**:
To find the conversion factor from degrees to radians, we can express 1 degree in radians:
\[ 1^\circ = \frac{2\pi}{360} \text{ radians} \]
Simplifying this gives:
\[ 1^\circ = \frac{\pi}{180} \text{ radians} \]

3. **Convert 18 Degrees to Radians**:
Now, to convert 18 degrees to radians, we multiply by the conversion factor:
\[ 18^\circ = 18 \times \frac{\pi}{180} \text{ radians} \]

4. **Simplify the Expression**:
Simplifying the multiplication:
\[ 18 \times \frac{\pi}{180} = \frac{18\pi}{180} \]
This can be further simplified:
\[ \frac{18\pi}{180} = \frac{\pi}{10} \text{ radians} \]

5. **Final Answer**:
Therefore, 18 degrees is equal to:
\[ 18^\circ = \frac{\pi}{10} \text{ radians} \]