What is 50^circ expressed in radians? A (5)/(36) B. (5)/(18) c (5pi )/(36) D. (5pi )/(18)

To convert degrees to radians, we use the conversion factor $\frac{\pi \text{ radians}}{180^\circ}$. Let's apply this to $50^\circ$:<br /><br />\[<br />50^\circ \times \frac{\pi \text{ radians}}{180^\circ} = \frac{50\pi}{180} \text{ radians}<br />\]<br /><br />Next, we simplify the fraction $\frac{50\pi}{180}$:<br /><br />\[<br />\frac{50\pi}{180} = \frac{5\pi}{18}<br />\]<br /><br />Thus, $50^\circ$ expressed in radians is $\frac{5\pi}{18}$.<br /><br />The correct answer is:<br />D. $\frac{5\pi}{18}$