Celia is staring at the clock waiting for school to end so that she can go to track practice. She notices that 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?
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 me

Question

Celia is staring at the clock waiting for school to end so that she can go to track practice. She notices that 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?
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 me

anonymous · Answer

Could somebody please just check the work for me :)
Part 1: the number of degrees per minute is 6. The minute hand moves 150 degrees from 1:25-1:50. 
radians= 150*pi/180
The number of radians is 5pi/6

Part 2: to find the how far the tip of the minute hand travels you would have to find the arc length. 
s=4*5pi/6= 10pi/3

Part 3: 5pi=4*radians
5pi/4=radians

Part 4: 5pi/4*180/pi= 225 degrees
(-radical2/2,-radical2/2)