Question

convert the radian measure to degrees.

$ - \frac { 4 \pi } { 5 } = \square ^ { \circ }$

(type an integer or a decimal.)

Explanation:

Step1: Use the conversion formula

To convert radians to degrees, use the formula \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi} \).
For \( -\frac{4\pi}{5} \) radians, the conversion is \( -\frac{4\pi}{5}\times\frac{180^{\circ}}{\pi} \).

Step2: Simplify the expression

Cancel out the \( \pi \) terms: \( -\frac{4}{5}\times180^{\circ} \).
Then calculate \( -\frac{4\times180}{5}=- \frac{720}{5}=-144^{\circ} \).

Answer:

\(-144\)