document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210548>Question 1210548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In triangle $XYZ,$ circles are drawn centered at $X$, $Y$, and $Z$, so that all pairs of circles are externally tangent. If $XY = 2,$ $XZ = 2,$ and $YZ = 2$, then find the sum of the areas of all three circles. </SPAN>\n" );
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document.write( "From the description, triangle XYZ is equilateral with side length 2.<br><BR>\n" );
document.write( "If circles drawn from each vertex are pairwise externally tangent, then each circle has radius 1.<br><BR>\n" );
document.write( "So the area of each circle is pi, and the sum of the areas of the three circles is 3pi.<br><BR>\n" );
document.write( "ANSWER: 3pi<br><BR>\n" );
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