Question

convert the following radian measure to degrees. -3.89196

Explanation:

Step1: Recall the conversion formula

To convert radians to degrees, we use the formula: \( \text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi} \)

Step2: Substitute the given radian value

We are given the radian measure as \(-3.89196\). Substitute this into the formula:
\( \text{Degrees} = -3.89196 \times \frac{180^\circ}{\pi} \)
Calculate the value:
\( \text{Degrees} \approx -3.89196 \times \frac{180}{3.1415926535} \)
\( \text{Degrees} \approx -3.89196 \times 57.2957795 \)
\( \text{Degrees} \approx -223.0^\circ \) (rounded to a reasonable decimal place)

Answer:

\(-223.0^\circ\) (or more precisely, approximately \(-223^\circ\) depending on the level of precision required)