객관식
What is the radian equivalent of ?
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1. Measuring Angles
Radians
객관식
How many radians are in a quarter of a circle?
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검증된 단계별 안내1
Recall that the total angle measure of a full circle in radians is given by the formula \(2\pi\) radians.
Understand that a quarter of a circle means dividing the full circle into 4 equal parts.
To find the radian measure of a quarter circle, divide the total radians of the full circle by 4: \(\frac{2\pi}{4}\).
Simplify the fraction \(\frac{2\pi}{4}\) by dividing numerator and denominator by 2, resulting in \(\frac{\pi}{2}\).
Therefore, the radian measure of a quarter of a circle is \(\frac{\pi}{2}\) radians.
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