Question 1077259
I would expect that "inscribed in the squares" does not apply to this:
{{{drawing(480,440,-2.4,2.4,-2.4,2,
triangle(-0.866,-0.5,0.866,-0.5,0,1),
rectangle(-0.866,-0.5,0.866,-2.232),
line(-0.866,-0.5,-2.366,0.366),
line(0,1,-1.5,1.866),
line(-2.366,0.366,-1.5,1.866),
line(0.866,-0.5,2.366,0.366),
line(0,1,1.5,1.866),
line(2.366,0.366,1.5,1.866),
red(circle(0,0,0.5)),red(circle(0,0,0.49))
)}}} That is a very small circle.
 
What does it mean to be "inscribed in the squares"?
Does it mean the circle is inscribed in each square,
like the circle below?
{{{drawing(360,340,-1.8,1.8,-1.2,2.2,
line(1.225,0,0,1.225),
line(0,1.225,-1.225,0),
line(-1.225,0,0,-1.225),
line(0,-1.225,1.225,0),
line(1.061,0.612,-0.612,1.061),
line(-0.612,1.061,-1.061,-0.612),
line(-1.061,-0.612,0.612,-1.061),
line(0.612,-1.061,1.061,0.612),
line(0.612,1.061,-1.061,0.612),
line(-1.061,0.612,-0.612,-1.061),
line(-0.612,-1.061,1.061,-0.612),
line(1.061,-0.612,0.612,1.061),
red(circle(0,0,0.866)),red(circle(0,0,0.856))
)}}}
 
Does it mean that it is tangent to one side of each circle,
and is contained in the union of all 3 circles, as the circle below?
{{{drawing(360,340,-1.8,1.8,-1.2,2.2,
triangle(-1.732,-1,1.732,-1,0,2),
line(-0.866,0.732,0.866,0.732),
line(-0.866,-1,0.866,-1),
line(-0.866,-1,-0.866,0.732),
line(0.866,-1,0.866,0.732),
line(0.433,1.25,-1.067,0.384),
line(1.299,-0.25,-0.201,-1.116),
line(-1.067,0.384,-0.201,-1.116),
line(0.433,1.25,1.299,-0.25),
line(-1.299,-0.25,-0.433,1.25),
line(-1.299,-0.25,0.201,-1.116),
line(-0.433,1.25,1.067,0.384),
line(0.201,-1.116,1.067,0.384),
red(circle(0,0,1)),red(circle(0,0,0.99))
)}}} This one is a bit larger.
The circle is inscribed in an equilateral triangle,
and each square has a side on a side of that triangle.
 
Does it mean that it is contained inside the union of all three squares,
as the circle below?
{{{drawing(360,340,-1.8,1.8,-1.2,2.2,
rectangle(-1.0825,-1,0.6495,0.732),
rectangle(1.0825,-1,-0.6495,0.732),
rectangle(-0.866,-0.5693,0.866,1.1627),
triangle(-1.732,-1,1.732,-1,0,2),
red(circle(0,0.0825,1.0825)),red(circle(0,0.0825,1.0725))
)}}}
This last one is tangent to one side of the top square,
and tangent to two sides of each of the bottom squares.
It is as large as I figure I could fit completely inside the union of the squares.