5 Cans Together...

Geometry Level 3

We have 5 cans of the same radius $$r = 1.25$$, arranged as above, such that the centers of the 4 outer can form a square. If you put a string around them, can you find the area of the unoccupied portion (shaded area) of the cans?

Details and Assumptions

The answer is in square units.

Round answers to 3 or more decimal places.

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