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Select your answer Convert \( \frac{5 \pi}{3} \) radians into degrees. \( \begin{array}{l}30^{\circ} \\ 240^{\circ} \\ 240^{\circ} \\ 300^{\circ}\end{array} \)

Ask by Page Ortega. in the United States
Feb 04,2025

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To convert radians to degrees, you can use the formula: degrees = radians × \(\frac{180}{\pi}\). So for \(\frac{5 \pi}{3}\) radians, it would be: \(\frac{5 \pi}{3} \times \frac{180}{\pi} = \frac{5 \times 180}{3} = 5 \times 60 = 300^{\circ}\). Therefore, the answer is \(300^{\circ}\). To solidify your understanding, remember that a full circle is \(360^{\circ}\) which is equivalent to \(2\pi\) radians. This relationship can help you quickly convert between the two units. Just think of radians as a way to express angles based on the properties of circles!

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