Dookie,Besides there is no reason why the rectangle perimeter should be greater than the circle perimeter.
twixt, I think Dookie is comparing an inscribed square perimeter (not circle perimeter) with inscribed rectangle perimeter.
I pick D.
The question is "what COULD be the perimeter".
The solution for a square is 4*sqrt(2)*R .
The perimeter of a rectangle should be greater than the perimeter of a square , so the only answer left is D.
Dookie, do you have a proof for, Perimeter of an inscribed rectangle > Perimeter of an inscribed square?
I drew a circle of R=1 and inscribed a square (a = 1.414, Per = 5.6) and a rectangle (l = 1.87, b = 0.7, Per = 5.14) and it shows the opposite.