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Five rings


bonanova
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You are given 5 circles, A, B, C, D, and E, whose radii are, respectively, 5", 4", 2", 2", and 1".

Can you find a way to overlap circle A with portions of some or all of the other four circles so that the un-overlapped portion of A has the same area as the sum of the unoverlapped portions of the other four circles? That is, the red area is equal to the sum of the green areas. Circles B, C, D and E may overlap portions of each other as well as a portion of A.

circle5.jpg

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  On 4/6/2018 at 2:16 AM, CaptainEd said:

Here’s a degenerate answer

 

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Good solution  @CaptainEd . Are there other solutions? (Or more general ones?)

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interesting question.

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