Question

Freddie is at chess practice waiting on his opponent's next move. He 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 3:35 to 3:55? (Hint: Find the number of degrees per minute first.)
Part 2: How far does the tip of the minute hand travel during that time?

Answer 1

@phi @Hero

Answer 2

@Nnesha

Answer 3

@zzr0ck3r

Answer 4

@sleepyjess @jigglypuff314 @jim_thompson5910

Answer 5

First, how many degrees would the hand move in a full minute?

Answer 6

360?

Answer 7

@sleepyjess

Answer 8

Yes! So if 60 seconds is 360 degrees, how many degrees would 20 seconds be?

Answer 9

120

Answer 10

Awesome! Do you know how to convert degrees to radians?

Answer 11

one second

Answer 12

2π/3

Answer 13

Yes!

Answer 14

That was the first part :)
Now for the second part

Answer 15

Do you know how to find circumference of a circle?

Answer 16

yes , πd

Answer 17

(pi * diameter)

Answer 18

Yep, we know that the minute hand is 4 inches, so that would be the radius.

Answer 19

so ( pi * 4 )

Answer 20

???

Answer 21

@sleepyjess