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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

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MissPhiladelphia
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:

[tex] \frac{124}{360} [/tex] x 44π

at 124° = 5456π / 360    ⇒  numerator and denominator is divisible by 8
at 124° = 682π / 45        ⇒  answer
2ofudum

Answer:

682π / 45

Step-by-step explanation: