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?

You must show all of your work.

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?

You must show all of your work.

anonymous · Answer

@ganeshie8

anonymous · Answer

Okay. 

Part 1: 
Degrees per minute = 360 degrees/60 minutes = 6 degrees/min. 
From 1:25 to 1:50, 25 minutes has passed, so the minute hand has moved 25*6 = 150 degrees or 150*pi/180 = 5pi/6 radians. 

Part 2: 
Total distance the tip of minute hand has traveled in this time = 2pi*(4 in) * (5pi/6)/(2pi) = 10pi/3 inches.

anonymous · Answer

Hope this helped! Have a great day! @Jaylyn.Ki

anonymous · Answer

LOVE YOU SO MUCH!