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The smaller circle in the diagram is internally tangent to the larger circle. The area of the gray region is $100\pi$ square units. The perimeter of the gray region (include both inner and outer boundaries) is $100\pi$ units. What is the distance in units between the centers of the two circles?

 Feb 20, 2021
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The distance between the two centers is 10.

 Feb 21, 2021

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