Difference between revisions of "1970 AMC 12 Problems/Problem 2"

(Problem)
m (cleanup -- the answer choices are probably still wrong)
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A square and a circle have equal perimeters. The ratio of the area of the circle to the area of the square is
 
A square and a circle have equal perimeters. The ratio of the area of the circle to the area of the square is
  
<math>\mathrm{(A)}\ \frac 2\pi\qquad \mathrm{(B)}\ \frac \piroot2\qquad \mathrm{(C)}\ \frac 45\qquad \mathrm{(D)}\ \frac 56\qquad \mathrm{(E)}\ \frac 78</math>
+
<math>\mathrm{(A)}\ \frac{2}{\pi}\qquad \mathrm{(B)}\ \frac{\pi}{\sqrt{2}}\qquad \mathrm{(C)}\ \frac{4}{5}\qquad \mathrm{(D)}\ \frac{5}{6}\qquad \mathrm{(E)}\ \frac{7}{8}</math>
  
 
== Solution ==
 
== Solution ==

Revision as of 15:09, 9 January 2008

Problem

A square and a circle have equal perimeters. The ratio of the area of the circle to the area of the square is

$\mathrm{(A)}\ \frac{2}{\pi}\qquad \mathrm{(B)}\ \frac{\pi}{\sqrt{2}}\qquad \mathrm{(C)}\ \frac{4}{5}\qquad \mathrm{(D)}\ \frac{5}{6}\qquad \mathrm{(E)}\ \frac{7}{8}$

Solution