What's the area of the largest equilateral triangle that will fit in the soace?

Geometry Level 3

2 unit circles with centers A A and B B are tangent to each other at C C , and are tangent to the same straight line.

What is the area of the largest equilateral triangle D E F DEF (as shown in the diagram) which fits in the space between the 2 circles and the straight line?


The answer is 0.3094.

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