Question

convert the angle in radians to degrees.

\\( \frac{\pi}{3} \\) radians

\\( \frac{\pi}{3} \\) radians \\( = \square^{\circ} \\)
(type an integer or a simplified fraction. type an exact answer, using \\( \pi \\) as needed.)

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given radian measure

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

Step3: Simplify the expression

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

Answer:

\( 60 \)