Question

convert the angle -3.5 radians to degrees, rounding to the nearest 10th.

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 value

We have the radian measure as \(-3.5\). Substitute this into the formula:
\( \text{Degrees} = -3.5 \times \frac{180^\circ}{\pi} \)

Step3: Calculate the value

First, calculate \( -3.5 \times 180 = -630 \). Then divide by \( \pi \):
\( \text{Degrees} \approx \frac{-630}{\pi} \approx -200.5^\circ \) (rounded to the nearest tenth)

Answer:

\(-200.5^\circ\)