5. Which of the following represents \( 255^{\circ} \) in radians? \( \begin{array}{ll}\text { A. } \frac{17 \pi}{6} & \text { C. } \frac{17 \pi}{18} \\ \text { B. } \frac{17 \pi}{12} & \text { D. } \frac{17 \pi}{24}\end{array} \)

To convert degrees to radians, you can use the formula: \[ \text{Radians} = \text{Degrees} \times \frac{\pi}{180} \] So for \( 255^{\circ} \): \[ 255^{\circ} \times \frac{\pi}{180} = \frac{255\pi}{180} = \frac{17\pi}{12} \] The correct answer is \( \text{B. } \frac{17\pi}{12} \). Now onto some fun insights: Looking back in history, the use of radians can be traced back to the ancient Greeks, who explored the circle's properties. Practitioners started measuring angles in relation to the radius, laying the groundwork for mathematical analysis (and adventures!) we use today. When dealing with angle conversions, always keep an eye out for common mistakes, such as forgetting to reduce fractions or mixing up the multiplication factors for degrees to radians. Check your work by converting back to degrees after calculation—it’s a surefire way to catch sneaky errors!