Candi C.

asked • 11/06/24

Arc Length and Area of Sector│Please Help!

Two connected gears are rotating. The smaller gear has a radius of 4in and the larger gear’s radius is 7in. What is the angle through which the larger gear has rotated when the smaller gear has rotated 120 degrees? Note that the gears have the same arc length.


  1. Since you were given the info about the smaller gear, use that to find the arc length.
  2. Then use the arc length you found and the given radius to find the missing angle for the larger gear.

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