Convert 36 degree into radians

Options

A. `(pi)/(5)` rad
B. `(pi)/(180)` rad
C. `(pi)/(18)` rad
D. `(18)/(pi)`

Explanation

To convert 36 degrees into radians, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Conversion Factor**:
The conversion from degrees to radians is done using the formula:
\[ \text{radians} = \text{degrees} \times \frac{\pi}{180} \]

2. **Substitute the Given Value**:
Here, we need to convert 36 degrees into radians. So, we substitute 36 for degrees in the formula:
\[ \text{radians} = 36 \times \frac{\pi}{180} \]

3. **Simplify the Expression**:
Now, we can simplify the fraction:
\[ \frac{36}{180} = \frac{1}{5} \]
Therefore, we have:
\[ \text{radians} = \frac{1}{5} \pi \]

4. **Final Result**:
Thus, 36 degrees is equivalent to:
\[ \text{radians} = \frac{\pi}{5} \]

### Final Answer:
36 degrees is equal to \(\frac{\pi}{5}\) radians.

---