Difference between revisions of "1992 AHSME Problems/Problem 11"
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Revision as of 00:20, 28 September 2014
Problem
![[asy] draw(circle((0,0),18),black+linewidth(.75)); draw(circle((0,0),6),black+linewidth(.75)); draw((-18,0)--(18,0)--(-14,8*sqrt(2))--cycle,black+linewidth(.75)); dot((-18,0));dot((18,0));dot((-14,8*sqrt(2))); MP("A",(-18,0),W);MP("C",(18,0),E);MP("B",(-14,8*sqrt(2)),W); [/asy]](http://latex.artofproblemsolving.com/2/2/8/22871a458aadf138787c4b78e4f425a3c4423210.png)
The ratio of the radii of two concentric circles is 
. If 
is a diameter of the larger circle, 
is a chord of the larger circle that is tangent to the smaller circle, and 
, then the radius of the larger circle is
Solution
See also
| 1992 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 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 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
