2007 AMC 10A Problems/Problem 15: Difference between revisions
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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? | |||
{{image}} | |||
<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> | |||
==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?
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Solution
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