Question

convert the angle in radians to degrees.\\(\frac{5pi}{3}\\) radians\\(\frac{5pi}{3}\\) radians = \\(\square^\circ\\)\\(\\) (type an integer or a simplified fraction. type an exact answer, using \\(\pi\\) as needed.)

Explanation:

Step1: Use radian-degree conversion rule

To convert radians to degrees, multiply by $\frac{180^\circ}{\pi}$.

Step2: Substitute the given radian value

$$\frac{5\pi}{3} \times \frac{180^\circ}{\pi}$$

Step3: Simplify the expression

Cancel $\pi$, then calculate $\frac{5 \times 180}{3} = 5 \times 60 = 300$

Answer:

$300$