Question

question. what is $\frac{13}{18}pi$ in degrees? $\bigcirc$ $130^circ$ $\bigcirc$ $190^circ$ $\bigcirc$ $260^circ$ $\bigcirc$ $290^circ$

Explanation:

Step1: Recall the conversion factor

We know that to convert radians to degrees, we use the conversion factor: $1\ \text{radian} = \frac{180^\circ}{\pi}$. So, to convert $\frac{13}{18}\pi$ radians to degrees, we multiply by $\frac{180^\circ}{\pi}$.

Step2: Perform the calculation

\[

$$\begin{align*} \frac{13}{18}\pi\times\frac{180^\circ}{\pi}&=\frac{13\times180^\circ}{18}\\ &= 13\times10^\circ\\ &= 130^\circ \end{align*}$$

\]

Answer:

$130^\circ$ (corresponding to the option "130°")