Geometric Descr. of 1-1 Function from Square to Circle

[theFuture]

So I'm asked to give a geometric description of a 1-1 function from a square onto a circle. Would I just have to say that it starts as a square of perimeter A and that is transformed to a circle of circumference A? Is there anything else "geometrically" to add? Is this even right?

 

[TenaliRaman]

I really don't understand what the question wants but my guess is
"Every point on the square uniquely maps to a unique point on the circle"
But that's abt all i can say in this regard , atleast for now...

-- AI

 

[HallsofIvy]

So I'm asked to give a geometric description of a 1-1 function from a square onto a circle. Would I just have to say that it starts as a square of perimeter A and that is transformed to a circle of circumference A? Is there anything else "geometrically" to add? Is this even right?

Is it given that the circumference of the circle must be the same as the perimeter of the square?

And why did you title this "linear functions"?