\begin{tabular}{|c} (a) Convert \( \frac{5 \pi}{11} \) radians to degree measure. \\ \( \square^{\circ} \) \\ (b) Convert \( 342^{\circ} \) to radian measure. \\ \( \square \) radians \end{tabular}
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To convert radians to degrees, you can use the formula \( \text{degrees} = \text{radians} \times \frac{180}{\pi} \). So for \( \frac{5 \pi}{11} \): \[ \frac{5 \pi}{11} \times \frac{180}{\pi} = \frac{5 \times 180}{11} = \frac{900}{11} \approx 81.82^{\circ} \] Thus, \( \frac{5 \pi}{11} \) radians is approximately \( 81.82^{\circ} \). For converting degrees to radians, use the formula \( \text{radians} = \text{degrees} \times \frac{\pi}{180} \). So for \( 342^{\circ} \): \[ 342 \times \frac{\pi}{180} = \frac{342\pi}{180} = \frac{171\pi}{90} \text{ radians} \] Thus, \( 342^{\circ} \) is equal to \( \frac{171\pi}{90} \) radians.