anonymous
  • anonymous
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 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?
Mathematics
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anonymous
  • anonymous
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 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?
Mathematics
schrodinger
  • schrodinger
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welshfella
  • welshfella
use the formula arc length = radius * angle in radians L = rC
anonymous
  • anonymous
That's what I tried but then I think I am now just over complicating it. So it would be 6(5π)? 30π?
misty1212
  • misty1212
HI!!

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misty1212
  • misty1212
i think you have it backwards the radian measure of the angle is the arc length divided by the radius
misty1212
  • misty1212
if the arc length is \(5\pi\) and the radius is \(6\) the the measure of the angle is \[\frac{5\pi}{6}\]
anonymous
  • anonymous
Oh, I was trying to solve for arc length. Duh. I see it now. Thank you so much!! So with that I can easily find the coordinates based on the unit circle.
misty1212
  • misty1212
i hope so yes

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