Multiple Choice
An arc on a circle measures . Within which range is the radian measure of the central angle?
1. Measuring Angles
Radians
Multiple Choice
How many degrees is radians?
A
B
C
D
Verified step by step guidance1
Recall the formula to convert radians to degrees: \(\text{degrees} = \text{radians} \times \frac{180}{\pi}\).
Identify the given radian measure: \(-\frac{\pi}{8}\) radians.
Substitute the radian value into the conversion formula: \(-\frac{\pi}{8} \times \frac{180}{\pi}\).
Simplify the expression by canceling \(\pi\) in numerator and denominator: \(-\frac{1}{8} \times 180\).
Multiply to find the degree measure: \(-\frac{180}{8}\) degrees, which simplifies further to the final degree value.
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