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 1: Understand the relationship between degrees and radians
We know that:
- 360 degrees is equal to \(2\pi\) radians.
- Therefore, 180 degrees is equal to \(\pi\) radians.

### Step 2: Find the conversion factor for 1 degree
To find the radian equivalent of 1 degree, we can set up the following equation:
\[ 1 \text{ degree} = \frac{\pi \text{ radians}}{180 \text{ degrees}} \]

### Step 3: Convert 18 degrees to radians
Now, to convert 18 degrees to radians, we multiply 18 by the conversion factor we found:
\[ 18 \text{ degrees} = 18 \times \frac{\pi}{180} \text{ radians} \]

### Step 4: Simplify the expression
Now we simplify the expression:
\[ 18 \times \frac{\pi}{180} = \frac{18\pi}{180} = \frac{\pi}{10} \text{ radians} \]

### Final Answer
Thus, 18 degrees is equal to \(\frac{\pi}{10}\) radians.

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