Question

convert the angle -4 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 \( -4 \) radians. Substitute this into the formula: \( -4 \times \frac{180^\circ}{\pi} \)

Step3: Calculate the value

First, calculate \( \frac{180}{\pi} \approx 57.2958 \). Then multiply by \( -4 \): \( -4 \times 57.2958 \approx -229.1832 \)

Step4: Round to the nearest tenth

Rounding \( -229.1832 \) to the nearest tenth gives \( -229.2 \)

Answer:

\( -229.2^\circ \)