Question

what is \\(\frac{\pi}{3}\\) radians converted to degrees? if necessary, round your answer to the nearest degree.\
\\(\circ\\) 30°\
\\(\circ\\) 45°\
\\(\circ\\) 60°\
\\(\circ\\) 90°

Explanation:

Step1: Recall radian to degree formula

To convert radians to degrees, we use the formula: \( \text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi} \)

Step2: Substitute the given radian value

We have \( \frac{\pi}{3} \) radians. Substitute into the formula: \( \frac{\pi}{3} \times \frac{180^\circ}{\pi} \)

Step3: Simplify the expression

The \( \pi \) in the numerator and denominator cancels out, leaving \( \frac{180^\circ}{3} = 60^\circ \)

Answer:

C. \( 60^\circ \) (assuming the options are labeled as A. \(30^\circ\), B. \(45^\circ\), C. \(60^\circ\), D. \(90^\circ\))