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? You must show all of your work

Answer 1

2pi radians in the whole circle

ok

hmm
60 mins total around the clock
from 3:35 to 3:55 is 20 mins

20/60=1/3=x radians/(2pirad)
times both sides by 2pi
2pi/3=xradians
answer is 2pi/3 radians


then we find how far it travels, means the fraction of the circumfernce
so 1/3 of the circumference
c=2pir
c=2pi4
c=8pi
1/3 of 8pi is 8pi/3




1. 2pi/3 radians
2. 8pi/3 inches