\begin{tabular}{l} Question 1 (2 points) \\ Leave the symbol \( \pi \) or "pi" in your answer. \\ 1. The radian equivalent of \( 200^{\circ} \) is equal to \( (10 \mathrm{pi}) / 9 \) \\ 2. The radian equivalent of \( -25^{\circ} \) is equal to \( -(5 \) (5pi)/36 radians. \\ Blank 1: \( (10 \mathrm{pi}) / 9 \) \\ Blank 2: \\ \hline\( -(5 \backslash \mathrm{pi}) / 36 \)\end{tabular}

Did you know that radians and degrees are just two different ways of measuring angles? A radian is defined by the radius of a circle, where the angle subtends an arc equal in length to the radius. So in essence, every angle measurement can be translated between these two systems, giving you the flexibility to choose what makes more sense for your calculations! When converting degrees to radians, the magic number to remember is that \(180^{\circ}\) is equivalent to \(\pi\) radians. To make conversions a breeze, simply multiply the degree measure by \(\frac{\pi}{180}\). So for your angle of \(-25^{\circ}\), it translates to \(-\frac{25\pi}{180}\), which can be simplified down to \(-\frac{5\pi}{36}\). Voilà! That's how you roll with radians!