Question
Convert \( 300^{\circ} \) to radian measure in terms of \( \pi \).
Ask by Wells Murray. in the United States
Mar 14,2025
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Answer
\(300^\circ\) is equal to \(\frac{5\pi}{3}\) radians.
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To convert degrees to radians, you can use the conversion factor that \( 180^{\circ} \) is equivalent to \( \pi \) radians. For \( 300^{\circ} \) to radians, you multiply by \( \frac{\pi}{180} \): \[ 300^{\circ} \times \frac{\pi}{180} = \frac{300\pi}{180} = \frac{5\pi}{3} \] So, \( 300^{\circ} \) is equivalent to \( \frac{5\pi}{3} \) radians.