What is \( -36^{\circ} \) converted to radians? \( -\frac{5 \pi}{\pi} \) \( -\frac{\pi}{5} \) \( -\frac{1}{5} \)

To convert degrees to radians, you can use the formula \( \text{radians} = \text{degrees} \times \frac{\pi}{180} \). For \( -36^{\circ} \), the calculation would be: \[ -36^{\circ} \times \frac{\pi}{180} = -\frac{36\pi}{180} = -\frac{\pi}{5} \] So the correct answer is \( -\frac{\pi}{5} \). When you convert angles frequently, you might find it fun to remember that \( 180^{\circ} \) equals \( \pi \) radians, much like how 90 is often thought of as a quarter turn in a curve. Embracing these relationships can help cement your understanding! Mistakes often arise when forgetting to simplify fractions properly. In this case, \( -\frac{36}{180} \) should lead directly to \( -\frac{1}{5} \), and then remembering to include \( \pi \) at the end can make all the difference—so double-check your fraction simplification and look for those \( \pi \) connections!