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?

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 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?

welshfella · Answer

use the formula 
arc length  = radius * angle in radians
L = rC

anonymous · Answer

That's what I tried but then I think I am now just over complicating it.  So it would be 6(5π)? 30π?

misty1212 · Answer

HI!!

misty1212 · Answer

i think you have it backwards
the radian measure of the angle is the arc length divided by the radius

misty1212 · Answer

if the arc length is $5\pi$ and the radius is $6$ the the measure of the angle is $$\frac{5\pi}{6}$$

anonymous · Answer

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 · Answer

i hope so yes