Difference between revisions of "2007 AMC 10A Problems/Problem 15"
m (New page: The answer is (A) 32.) |
(that is exactly what I said NOT to do...) |
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− | + | ==Problem== | |
+ | Four circles of radius <math>1</math> are each tangent to two sides of a square and externally tangent to a circle of radius <math>2</math>, as shown. What is the area of the square? | ||
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+ | {{image}} | ||
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+ | <math>\text{(A)}\ 32 \qquad \text{(B)}\ 22 + 12\sqrt {2}\qquad \text{(C)}\ 16 + 16\sqrt {3}\qquad \text{(D)}\ 48 \qquad \text{(E)}\ 36 + 16\sqrt {2}</math> | ||
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+ | ==Solution== | ||
+ | {{solution}} | ||
+ | |||
+ | ==See Also== | ||
+ | |||
+ | [[Category:Introductory Geometry Problems]] |
Revision as of 16:12, 21 January 2008
Problem
Four circles of radius are each tangent to two sides of a square and externally tangent to a circle of radius , as shown. What is the area of the square?
An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.
Solution
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