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bonanova

Three Big Wheels

Question

How much of the area of a 3 4 5 right triangle can be covered

by three non overlapping circles completely contained by the triangle?

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How much of the area of a 3 4 5 right triangle can be covered

by three non overlapping circles completely contained by the triangle?

60%

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I programmed the Malfatti circles for this problem.

They give 66.27% coverage, thought initially to be optimal, clearly not.

but 1.01 for r1 is stepping on the line..the limit is 1

The incircle has radius of 1. Good catch ...

The competition is still open.

I'll mark it solved at 74.13 until/unless a better number comes in.

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