# Lumos StepUp High School Geometry - Mathematics Practice test + Workbook Assessment 1

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## Two passengers are located at fixed distances R and 2R from the axis about which an amusement park ride rotates, such that they travel in circular paths. Answer the following questions to determine the ratio of the arc lengths traveled by the riders during the same time interval.a) During a certain time interval, it is observed that the ride rotates through an angle $$\theta = \frac{\pi }{4}.$$ Find the distance traveled along the arc by the rider located R from the ride axis.

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