Question 338800
A circle is inscribed in a square. 
If a side of the square is π/2 what is the ratio of the perimeter of the square
 to the circumference of the circle?
:
The perimeter: {{{4(pi/2)}}}={{{(2pi)}}}
:
The diameter is also {{{pi/2}}}
The circumference: {{{pi*(pi/2)}}} = {{{pi^2/2}}}
:
Perimeter:circumference: {{{(2pi)/(pi^2/2)}}}
invert the dividing fraction and multiply
{{{(2pi)* (2/pi^2)}}}
Cancel pi in the numerator resulting in
{{{2*(2/pi)}}} = {{{4/pi}}}