In the gym, there is a scale that measures people's weight. the needle is 22 cm long, and it rotated 124° when evelyn stepped on it. how far did the needle travel as it rotated? 1364π 2728π 682 pi over 45 45 pi over 682

The problem above falls under the unit circle. 
First, get the circumference of the circle
C = 2πr = 2π(22)
C = 44π

to get how far it traveled:

x 44π

at 124° = 5456π / 360    ⇒  numerator and denominator is divisible by 8
at 124° = 682π / 45        ⇒  answer