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How many radians are in ?
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1. Measuring Angles
Radians
Multiple Choice
How many radians is ?
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검증된 단계별 안내1
Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
Substitute the given degree measure into the formula: \(150^\circ \times \frac{\pi}{180}\).
Simplify the fraction \(\frac{150}{180}\) by dividing numerator and denominator by their greatest common divisor, which is 30.
After simplification, express the fraction in lowest terms: \(\frac{5}{6}\).
Write the final expression for the angle in radians as \(\frac{5\pi}{6}\).
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