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Tammy is at the dentist's office waiting on her appointment. She notices that the 6-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle. Part 1: How many radians does the minute hand move from 1:20 to 1:55? Find the number of degrees per minute first.) Part 2: How far does the tip of the minute hand travel during that time?

 May 10, 2016
 #1
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what exactly is a radian?

 May 10, 2016
 #2
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There are 2pi radians in 360 degrees

 

1:20 to 1:55 is 35 minutes     35 minutes out of 60 (which is a complete rotation)     35/60 x 2pi = 1.16 pi radians = 3.665 radians

 May 10, 2016

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