Question

question
convert the angle -2 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 are given \( -2 \) radians. Substitute \( \text{Radians} = -2 \) into the formula:
\( \text{Degrees} = -2 \times \frac{180^\circ}{\pi} \)

Step3: Calculate the value

First, calculate \( \frac{180}{\pi} \approx 57.2958 \)
Then, multiply by \( -2 \): \( -2 \times 57.2958 \approx -114.5916 \)

Step4: Round to the nearest tenth

Rounding \( -114.5916 \) to the nearest tenth gives \( -114.6 \)

Answer:

\( -114.6^\circ \)