The value of `60^@` in radian is

Options

A. `pi/2`
B. `pi/3`
C. `pi/4`
D. `pi/5`

Answer

To convert the angle of \(60^\circ\) into radians, we can follow these steps:

### Step 1: Understand the Conversion Formula
The formula to convert degrees to radians is:
\[ \text{radians} = \text{degrees} \times \frac{\pi}{180} \]

### Step 2: Substitute the Value
Substituting \(60^\circ\) into the formula:
\[ \text{radians} = 60 \times \frac{\pi}{180} \]

### Step 3: Simplify the Expression
Now, simplify the expression:
\[ \text{radians} = \frac{60\pi}{180} \]

### Step 4: Reduce the Fraction
Next, we can reduce the fraction:
\[ \frac{60\pi}{180} = \frac{\pi}{3} \]

### Step 5: Conclusion
Thus, the value of \(60^\circ\) in radians is:
\[ \frac{\pi}{3} \]

### Final Answer
The correct answer is \(\frac{\pi}{3}\).

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