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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?

 Apr 10, 2016
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Length of needle = Radius of Circle

                            = 22 cm

 

Circumference of circle = \(2πr \\ = 2π \times 22 (π = 3.142) \\ = 2 \times 3.142 \times 22 \\ = 6.284 \times 22 \\ = 138.248\)           

 

 

 

 

\(360º = 138.248cm | ÷ \frac{360}{124} \\ 124º = 47.619cm\)

 

 

The answer is rounded to 3 decimal places.

 

Answer: 47.619 cm

 Apr 10, 2016

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