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Change from degrees to radians: \[ \begin{array}{c}20^{\circ} \\ \underline{[?] \pi}\end{array} \]

Ask by Coleman Blake. in the United States
Nov 05,2024

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\(20^{\circ} = \frac{\pi}{9}\) radians

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To convert degrees to radians, you can use the conversion factor \(\frac{\pi}{180}\). So, for \(20^{\circ}\): \[ 20^{\circ} \times \frac{\pi}{180} = \frac{20\pi}{180} = \frac{\pi}{9} \] So, \(20^{\circ}\) is equal to \(\frac{\pi}{9}\) radians. To make it even easier to remember: the basic formula for converting degrees to radians is to multiply the degree measure by \(\frac{\pi}{180}\). This way, whenever you come across degrees, you can quickly convert them to that cool radian measurement!

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