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Given a circle with center and radius , and an arc that subtends an angle at the center such that the length of arc is , what is the radian measure of angle ?
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1. Measuring Angles
Radians
Multiple Choice
What radian measure is equivalent to ?
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검증된 단계별 안내1
Recall the fundamental relationship between degrees and radians: \(180^\circ = \pi\) radians.
To convert degrees to radians, use the formula: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
Apply this formula to convert \(900^\circ\) to radians: \(900 \times \frac{\pi}{180}\).
Simplify the fraction \(\frac{900}{180}\) by dividing numerator and denominator by their greatest common divisor.
Express the simplified fraction multiplied by \(\pi\) to get the radian measure equivalent to \(900^\circ\).
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