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Sagot :

Answer: 107 meters

Step-by-step explanation:

There are 2 ways to solve this:

1. The formula for arc length is: arc length = angle (in radians) * radius.

Thus, convert 123 degrees to radians by multiplying it by (pi/180), and then multiply this number by 50 (half of the diameter is the radius) in order to get 107.

2. Find the circumference of the track using C = pi*diameter and get 314.16. Then, set up a proportion: 314.16 meters / 360 degrees = x meters / 123 degrees and solve to get 107 :)

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