Textbook Question
Convert each radian measure to degrees. See Examples 2(a) and 2(b). 11π/15
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1. Measuring Angles
Radians
Multiple Choice
Which of the following radian measures is equal to ?
A
B
C
D
Verified step by step guidance1
Recall the fundamental relationship between degrees and radians: \(180^\circ = \pi\) radians.
Identify that the problem asks which radian measure is equivalent to \(180^\circ\).
Look at each given option and compare it to \(\pi\) radians, since \(180^\circ\) equals \(\pi\) radians.
Understand that \(2\pi\) radians corresponds to \(360^\circ\), which is a full circle, so it is not equal to \(180^\circ\).
Recognize that \(\frac{3}{2}\pi\) radians equals \(270^\circ\), and \(\frac{\pi}{2}\) radians equals \(90^\circ\), so neither matches \(180^\circ\).
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