How many degrees is $-\frac{\pi }{8}$ radians?

• A. $-11.25°$
• B. $-12.5°$
• C. $-22.5°$
• D. $-45°$

Answer: (C)

Verified step by step guidance

1. Recall the formula to convert radians to degrees: \(\text{degrees} = \text{radians} \times \frac{180}{\pi}\).
2. Identify the given radian measure: \(-\frac{\pi}{8}\) radians.
3. Substitute the radian value into the conversion formula: \(-\frac{\pi}{8} \times \frac{180}{\pi}\).
4. Simplify the expression by canceling \(\pi\) in numerator and denominator: \(-\frac{1}{8} \times 180\).
5. Multiply to find the degree measure: \(-\frac{180}{8}\) degrees, which simplifies further to the final degree value.