Difference between revisions of "2011 AMC 8 Problems/Problem 25"
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filldraw((-1,0)--(0,1)--(1,0)--(0,-1)--cycle,white,black);</asy> | filldraw((-1,0)--(0,1)--(1,0)--(0,-1)--cycle,white,black);</asy> | ||
| − | <math> \ | + | <math> \textbf{(A)}\ \frac{1}2\qquad\textbf{(B)}\ 1\qquad\textbf{(C)}\ \frac{3}2\qquad\textbf{(D)}\ 2\qquad\textbf{(E)}\ \frac{5}2 </math> |
==Solution== | ==Solution== | ||
Revision as of 18:26, 25 November 2011
Problem
A circle with radius 
is inscribed in a square and circumscribed about another square as shown. Which fraction is closest to the ratio of the circle's shaded area to the area between the two squares?
![[asy] filldraw((-1,-1)--(-1,1)--(1,1)--(1,-1)--cycle,mediumgray,black); filldraw(Circle((0,0),1), mediumgray,black); filldraw((-1,0)--(0,1)--(1,0)--(0,-1)--cycle,white,black);[/asy]](http://latex.artofproblemsolving.com/8/a/2/8a2a7a6c8181561c79a836135f5f345499dccda3.png)
Solution
See Also
| 2011 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 24 |
Followed by Problem | |
| 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 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
