document.write( "Question 319662: Points A,B and C lie on a circle and form an equilateral triangle. If AB = 12 what is the circumference of the circle. \n" ); document.write( "

Algebra.Com's Answer #228931 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Points A,B and C lie on a circle and form an equilateral triangle.
\n" ); document.write( " If AB = 12 what is the circumference of the circle.
\n" ); document.write( ":
\n" ); document.write( "Draw this out.
\n" ); document.write( "The centroid of the equilateral triangle is also the center of circle.
\n" ); document.write( "The hypotenuse of the triangle formed by drawing the medians through the
\n" ); document.write( " center is also the radius (r).
\n" ); document.write( ":
\n" ); document.write( "Cos(30) = $\"6%2Fr\"$
\n" ); document.write( ".866r = 6
\n" ); document.write( "r = $\"6%2F.866\"$
\n" ); document.write( "r = 6.93
\n" ); document.write( "Find the circumference
\n" ); document.write( "C = $\"2%2Api%2A6.93\"$
\n" ); document.write( "C = 43.53 \n" ); document.write( "

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