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Circles in a square and diameter of the circle

Wilmer

In Memoriam
Mar 19, 2012
376
A circle is inscribed in a square with sides = 40.

A smaller (of course!) circle tangent to the above
circle and 2 sides of the square is inscribed in
one of the corners of the square.

What is the diameter of this circle?
 

Olinguito

Well-known member
Apr 22, 2018
251
$20(\sqrt2-1)$, easy.
 

Wilmer

In Memoriam
Mar 19, 2012
376
No.
diameter = 40(3-2√2) = ~6.86
Not as easy as it appears...
 

Olinguito

Well-known member
Apr 22, 2018
251
You’re right. I overlooked the teeny bit in the extreme corner.