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An urban planner is designing a circular roundabout with a radius of 10 meters, surrounded by a circular path that is 2 meters wide. What is the area of the path alone in square meters?
First, find the area of the larger circle, which includes both the roundabout and the path. The radius of this larger circle is \(10 + 2 = 12\) meters.
The area \( A_{\text{large}} \) of the larger circle is:

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