Question
Change from degrees to radians: \[ \begin{array}{c}108^{\circ} \\ \underline{[?] \pi}\end{array} \]
Ask by Fowler Wells. in the United States
Nov 07,2024
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Answer
\(108^{\circ} = \frac{3\pi}{5}\) radians
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Beyond the Answer
To convert degrees to radians, you can use the conversion factor \( \frac{\pi \text{ radians}}{180^{\circ}} \). So, for \( 108^{\circ} \): \[ 108^{\circ} \times \frac{\pi \text{ radians}}{180^{\circ}} = \frac{108\pi}{180} = \frac{3\pi}{5} \text{ radians}. \] Thus, \[ 108^{\circ} = \frac{3\pi}{5}. \] Now you know how to spin degrees into radians like a math wizard!