SOLUTION: 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? a 1/4π b 1/&

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: 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? a 1/4π b 1/&      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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?
a 1/4π b 1/π c 2/π d 4/π e π/2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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%28pi%2F2%29=%282pi%29
:
The diameter is also pi%2F2
The circumference: pi%2A%28pi%2F2%29 = pi%5E2%2F2
:
Perimeter:circumference: %282pi%29%2F%28pi%5E2%2F2%29
invert the dividing fraction and multiply
%282pi%29%2A+%282%2Fpi%5E2%29
Cancel pi in the numerator resulting in
2%2A%282%2Fpi%29 = 4%2Fpi