Question

convert the degree measure to radians
-38.42°

-38.42° ≈ □ radians
(type an integer or decimal rounded to the nearest thousandth as needed.)

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given degree measure

We have \( -38.42^\circ \), so substitute into the formula: \( -38.42 \times \frac{\pi}{180} \)

Step3: Calculate the value

First, calculate \( -38.42 \times \pi \approx -38.42 \times 3.1415926535 \approx -120.70 \) (approximate value of \( -38.42\pi \))
Then divide by 180: \( \frac{-120.70}{180} \approx -0.670555\cdots \)
Rounding to the nearest thousandth, we get \( -0.671 \)

Answer:

\( -0.671 \)