Multiple Choice
How many radians are in ?
1. Measuring Angles
Radians
Multiple Choice
How many radians are in ?
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Verified step by step guidance1
Recall the relationship between degrees and radians: \(180^\circ\) is equivalent to \(\pi\) radians.
To convert an angle from degrees to radians, use the formula: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
Substitute the given angle of \(27^\circ\) into the formula: \(27 \times \frac{\pi}{180}\).
Simplify the fraction \(\frac{27}{180}\) by dividing numerator and denominator by their greatest common divisor.
Express the final answer as a simplified fraction multiplied by \(\pi\), which represents the angle in radians.
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