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In one plane, there are four circles, each with radii 3, 1, 7, and 5 respectively. They are all tangent to line m at the same point, point A. What's the maximum area that could be between the four circles.

 Feb 10, 2021
 #1
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The maximum area is 16*pi.

 Feb 10, 2021
 #2
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That's not correct according to the answer key. Either way I'm looking for a solution, not the answer.

 Feb 10, 2021
 #3
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65 pi

 Feb 12, 2021
 #4
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Somewhat unclear question (e.g. what's the significance of the word 'respectively' here?).  However, one interpretation is as follows where the largest area is between the radius 7 and radius 1 circles:

 

 Feb 12, 2021

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