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If a circle has a radius of inches and a central angle of radians, what is the length of arc in inches?
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1. Measuring Angles
Radians
Multiple Choice
An angle measures radians. What is the degree measure of the angle?
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검증된 단계별 안내1
Recall the relationship between radians and degrees: \(1 \text{ radian} = \frac{180}{\pi} \text{ degrees}\).
To convert an angle from radians to degrees, multiply the radian measure by \(\frac{180}{\pi}\).
Set up the conversion for the given angle: \(2.44 \times \frac{180}{\pi}\) degrees.
Calculate the value of \(\frac{180}{\pi}\) using an approximate value for \(\pi\) (about 3.1416) to get a decimal multiplier.
Multiply 2.44 by this decimal multiplier to find the degree measure of the angle.
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