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Area Between Two Concentric Circles

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I have a word problem that requires me to find the area of the ring and the area of the circle where the area between each concentric circle is r which is the same as the smallest circles radius. How can I find the radius and compare them to each other? Would I use the standard formula of a circle?

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Radius if the smallest circle = r
Let the thickness of the ring be t.
Then outer radius of the ring = r + t
Inner radius of ...

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