Answer
$-0.832391$ radians
Work Step by Step
Step 1: To convert from degrees to radians, we need to multiply the angle in degrees by $\frac{\pi}{180}$ radians,
$-47.6925^{\circ}=-47.6925(\frac{\pi}{180})$
Step 2: Using a calculator,
$-47.6925(\frac{\pi}{180})\approx-0.832391$ radians