Question

convert the angle in radians to degrees.
-8π
-8π = □°

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 radian value

We are given the angle in radians as \( -8\pi \). Substitute this into the formula:
\( -8\pi \times \frac{180^\circ}{\pi} \)

Step3: Simplify the expression

The \( \pi \) in the numerator and denominator cancels out:
\( -8 \times 180^\circ = -1440^\circ \)

Answer:

\( -1440 \)