Difference between revisions of "1952 AHSME Problems/Problem 33"

(Created page with "== Problem == A circle and a square have the same perimeter. Then: <math>\text{(A) their areas are equal}\qquad</math> <math>\text{(B) the area of the circle is the greater} ...")
 
m (Problem)
Line 4: Line 4:
 
A circle and a square have the same perimeter. Then:  
 
A circle and a square have the same perimeter. Then:  
  
<math>\text{(A) their areas are equal}\qquad</math>
+
<math>\text{(A) their areas are equal}\qquad\\
<math>\text{(B) the area of the circle is the greater} \qquad</math>
+
\text{(B) the area of the circle is the greater} \qquad\\
<math>\text{(C) the area of the square is the greater} \qquad</math>
+
\text{(C) the area of the square is the greater} \qquad\\
<math>\text{(D) the area of the circle is }\pi\text{ times the area of the square}\qquad</math>
+
\text{(D) the area of the circle is } \pi \text{ times the area of the square}\qquad\\
<math>\text{(E) none of these}</math>
+
\text{(E) none of these}</math>
  
 
== Solution ==
 
== Solution ==

Revision as of 21:49, 2 October 2014

Problem

A circle and a square have the same perimeter. Then:

$\text{(A) their areas are equal}\qquad\\ \text{(B) the area of the circle is the greater} \qquad\\ \text{(C) the area of the square is the greater} \qquad\\ \text{(D) the area of the circle is } \pi \text{ times the area of the square}\qquad\\ \text{(E) none of these}$

Solution

$\fbox{}$

See also

1952 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 32
Followed by
Problem 34
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
All AHSME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png