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QUESTION IMAGE

convert \\(\\frac{\\pi}{3}\\) radians to degree measure.

Question

convert \\(\frac{\pi}{3}\\) radians to degree measure.

Explanation:

Step1: Recall radian-degree conversion

We know $\pi$ radians = $180^\circ$, so 1 radian = $\frac{180^\circ}{\pi}$.

Step2: Multiply by conversion factor

Multiply $\frac{\pi}{3}$ by $\frac{180^\circ}{\pi}$:
$$\frac{\pi}{3} \times \frac{180^\circ}{\pi}$$

Step3: Simplify the expression

Cancel $\pi$, calculate $\frac{180}{3}$ = $60$.

Answer:

$60^\circ$