Celia is starring at the clock waiting for school to end so that she can go to track practice. She notices the 4-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 1:25 to 1:50? (hint find the number of degrees per minute first)
Part 2: How far does the tip of the minute hand travel during that time?
Show all work please. :( @bmk614

Question

Celia is starring at the clock waiting for school to end so that she can go to track practice. She notices the 4-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 1:25 to 1:50? (hint find the number of degrees per minute first)
Part 2: How far does the tip of the minute hand travel during that time? 
Show all work please. :( @bmk614

anonymous · Answer

do you're own work

ask_if_im_a_ghost · Answer

Part 1: To find out how many degrees per minute the minute hand turns, you divide the number of degrees the minute hand turns by however many minutes it took.

So to give you a hint; in an hour, how many degrees does a minute hand turn?

bmk614 · Answer

2pi is the total radians for a circle. 60 minutes per hour.
2pi/60=pi/30
50-25=25 minutes
25*pi/30=5pi/6

anonymous · Answer

part 2??? @bmk614

ask_if_im_a_ghost · Answer

Part 2: The distance traveled is the radius times how many radians it has covered.

So multiply the length of the minute hand by how many radians it traveled.

bmk614 · Answer

5pi/6*4
10pi/3

ask_if_im_a_ghost · Answer

Correct, the minute hand travels 10*Pi/3 inches