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 1: how many radians does the minute hand move from 1: 20 to 1: 55? (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.

Part1: 3.66519 radians

Part 2: 21.98 inches

Step-by-step explanation:

In order to know how many radians did the minute hand move from 1:20 to 1:55 you just need to know that there are 60 minutes in a clock, and there are 360º in the same clock, so every minute that passes, the minute hand is advancing 6 degrees. And from 1:20 to 1:55 there are 35 minutes, so the answer to the grade that it advanced would be:

now we just convert that into radians:

If 1 degree=0.0174 radians, how many radians will there be in 210?

Now to evaluate how much does it move we just have to calculate the circumference:

Now there are 37.68 inches in the whole circumferece, there are 60 minutes in that same circumference we just make a rule of three to know how many there are in 35 minutes:

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation: