Write the measure in degrees. \[ \frac{7 \pi}{4} \] \( [?]^{\circ} \)

To convert the radian measure \(\frac{7 \pi}{4}\) to degrees, you can use the conversion factor that \(\pi\) radians is equal to \(180\) degrees. Thus, you can multiply by \(\frac{180}{\pi}\): \[ \frac{7 \pi}{4} \times \frac{180}{\pi} = \frac{7 \times 180}{4} = \frac{1260}{4} = 315 \] So, the measure is \(315^{\circ}\). Here's a little fun fact: \(315^{\circ}\) is located in the fourth quadrant of the unit circle, where the cosine value is positive and the sine value is negative! And if you ever mix up the conversion, remember that \(\pi \approx 3.14\), which can help you get an approximate degree measure quickly. Just check: \(3.14 \times \frac{7}{4} \approx 5.5\) radians, which is a bit less than \(360^{\circ}\). Adjust, and you'll get there in no time!