It helps to have the angles measured in radians instead because it helps with solving arc length and area of a sector. The formulas are simpler and more concise.
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Teacher Example: Convert \frac{5\pi}{6} to degrees
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Student Example \frac{8\pi}{3}
Teacher Example: Convert 15 degrees to radians
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Student example: Convert 275 \degree to radians.
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Find an angle \theta that is co terminal to \frac{-2\pi}{7} where 0\leq \theta \leq 2\pi