Art of Problem Solving

2005 AMC 12B Problems/Problem 14: Difference between revisions

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== Problem ==
== Problem ==
{{problem}}
{{problem}}
A circle having center <math>(0,kk)</math>, with <math>k>6</math>, is tangent to the lines <math>y=x</math>, <math>y=-x</math> and <math>y=6</math>. What is the radius of this circle?
A circle having center <math>(0,k)</math>, with <math>k>6</math>, is tangent to the lines <math>y=x</math>, <math>y=-x</math> and <math>y=6</math>. What is the radius of this circle?
 
== Solution ==
== Solution ==


== See also ==
== See also ==
* [[2005 AMC 12B Problems]]
* [[2005 AMC 12B Problems]]

Revision as of 02:43, 6 June 2010

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Problem

This problem has not been edited in. Help us out by adding it. A circle having center $(0,k)$, with $k>6$, is tangent to the lines $y=x$, $y=-x$ and $y=6$. What is the radius of this circle?

Solution

See also