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? (Hint: Find the number of degrees per minute first.) Part 2: How far does the tip of the minute hand travel during that time? Part 3: How many radians on the unit circle would the minute hand travel from 0° if it were to move 5π inches? Part 4: What is the coordinate point associated with this radian measure?

Question

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? (Hint: Find the number of degrees per minute first.) Part 2: How far does the tip of the minute hand travel during that time? Part 3: How many radians on the unit circle would the minute hand travel from 0° if it were to move 5π inches? Part 4: What is the coordinate point associated with this radian measure?

anonymous · Answer

@mathmale

anonymous · Answer

Part 1. Ignore the hint.
How many minutes from 1:20 to 1:55? 35 minutes.
so 2pi * 35/60
(((since one full circle is 2pi radians and we want to go 35/60ths of that circle)

anonymous · Answer

Okay so is that the answer for part 1 lol im really bad at this! @BangkokGarrett

anonymous · Answer

and that would = 6.37 ? @BangkokGarrett

anonymous · Answer

i mean 3.67 lol @BangkokGarrett

anonymous · Answer

@mathmale @Math312

mathmale · Answer

Although not strictly necessary, a sketch might aid your understanding of this problem.
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