One radian is approximately equal to which one of the following ?

Options

A. `90^(@)`
B. `108^(@)`
C. `57^(@)`
D. `47^(@)`

Explanation

To find out how many degrees are equivalent to one radian, we can use the conversion formula between radians and degrees. The relationship is given by:

1 radian = \( \frac{180}{\pi} \) degrees.

### Step-by-step solution:

1. **Write the conversion formula**:
\[ 1 \text{ radian} = \frac{180}{\pi} \text{ degrees} \]

2. **Substitute the value of \(\pi\)**:
We can use the approximate value of \(\pi \approx 3.14\).
\[ 1 \text{ radian} \approx \frac{180}{3.14} \text{ degrees} \]

3. **Calculate the value**:
Now we perform the division:
\[ 1 \text{ radian} \approx 57.32484 \text{ degrees} \]

4. **Round off the value**:
We can round this value to the nearest whole number:
\[ 1 \text{ radian} \approx 57 \text{ degrees} \]

5. **Identify the answer**:
Therefore, the approximate value of one radian in degrees is 57 degrees.

### Final Answer:
1 radian is approximately equal to 57 degrees.

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