2004 AMC 12A Problems/Problem 19
Revision as of 15:28, 26 February 2008 by Chickendude (talk | contribs) (Added Box template for "see also")
Problem 19
Circles and are externally tangent to each other, and internally tangent to circle . Circles and are congruent. Circle has radius and passes through the center of . What is the radius of circle ?
Solution
Note that since D is the center of the larger circle of radius 2
Using the Pythagorean Theorem on
Now Using the pythagorean theorem on
Substituting in
See Also
2004 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 18 |
Followed by Problem 19 |
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 AMC 12 Problems and Solutions |