Question

Convert the angle minus, 3−3 radians to degrees, rounding to the nearest 10th.

Answer 1

To convert radians to degrees, you can use the formula:

\[
\text{degrees} = \text{radians} \times \left(\frac{180}{\pi}\right)
\]

For the angle \(-3 - 3\) radians, first calculate the total radians:

\[
-3 - 3 = -6 \text{ radians}
\]

Now, we will convert \(-6\) radians to degrees using the conversion formula:

\[
\text{degrees} = -6 \times \left(\frac{180}{\pi}\right)
\]

Calculating this gives:

\[
\text{degrees} \approx -6 \times \left(\frac{180}{3.14159}\right) \approx -6 \times 57.2958 \approx -343.774
\]

Rounding to the nearest tenth:

\[
-343.8 \text{ degrees}
\]

Thus, the angle \(-3 - 3\) radians in degrees is approximately \(-343.8\) degrees.