Question

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

Answer 1

682π / 45

Explanation:

Answer 2

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:


`(124)/(360)` x 44π

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