Question

convert \\(\frac{13\pi}{6}\\) radians to degrees. (1 point)
○ 280 degrees
○ 390 degrees
○ 545 degrees
○ 300 degrees

Explanation:

Step1: Recall the conversion formula

To convert radians to degrees, we use the formula: Degrees = Radians × $\frac{180^\circ}{\pi}$.

Step2: Substitute the given radian value

We have the radian value $\frac{13\pi}{6}$. Substitute it into the formula: Degrees = $\frac{13\pi}{6}$ × $\frac{180^\circ}{\pi}$.

Step3: Simplify the expression

The $\pi$ in the numerator and denominator cancels out. Then we calculate $\frac{13\times180^\circ}{6}$. First, divide 180 by 6, which gives 30. Then multiply 13 by 30: 13×30 = 390. So the degree measure is $390^\circ$.

Answer:

B. 390 degrees