To convert an angle from radians to degrees, we use the fact that [tex]\( \pi \)[/tex] radians is equivalent to [tex]\( 180^\circ \)[/tex]. Therefore, to convert an angle in radians to degrees, we can use the following relationship:
[tex]\[
\text{Degrees} = \text{Radians} \times \left(\frac{180}{\pi}\right)
\][/tex]
Given the angle [tex]\( \frac{\pi}{3} \)[/tex] radians, we can apply this conversion formula:
[tex]\[
\text{Degrees} = \frac{\pi}{3} \times \left(\frac{180}{\pi}\right)
\][/tex]
Simplifying this expression:
[tex]\[
\text{Degrees} = \frac{\pi \times 180}{3 \times \pi} = \frac{180}{3} = 60
\][/tex]
So, the angle [tex]\( \frac{\pi}{3} \)[/tex] radians is equivalent to [tex]\( 60^\circ \)[/tex].
If necessary, we round the answer to the nearest degree. In this case, the degrees value is already a whole number, so there is no further rounding needed.
Therefore, the angle [tex]\( \frac{\pi}{3} \)[/tex] radians converted to degrees is:
[tex]\[
60^\circ
\][/tex]
So, the correct answer from the options given is [tex]\( 60^\circ \)[/tex].
