## anonymous one year ago 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?

1. welshfella

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

2. anonymous

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

3. misty1212

HI!!

4. misty1212

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

5. misty1212

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

6. 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.

7. misty1212

i hope so yes