document.write( "Question 588140: A chord of a circle is 10mm. It is parallel to a tangent and bisects the radius drawn to the point of tangency(where the line and the circle touch). Find the circumference of the circle. \n" ); document.write( "
Algebra.Com's Answer #374392 by ankor@dixie-net.com(22740)\"\" \"About 
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A chord of a circle is 10mm.
\n" ); document.write( " It is parallel to a tangent and bisects the radius drawn to the point of tangency(where the line and the circle touch).
\n" ); document.write( " Find the circumference of the circle.
\n" ); document.write( ":
\n" ); document.write( "Draw this out and you can see two right triangles are formed where
\n" ); document.write( "side 1 = 5 (half the chord)
\n" ); document.write( "side 2 = .5r (half the radius
\n" ); document.write( "hypot: = r
\n" ); document.write( ":
\n" ); document.write( "r^2 = (.5r)^2 + 5^2
\n" ); document.write( "r^2 = .25r^2 = 25
\n" ); document.write( "r^2 - .25r^2 = 25
\n" ); document.write( ".75r^2 = 25
\n" ); document.write( "r^2 = \"25%2F.75\"
\n" ); document.write( "r^2 = 33.33
\n" ); document.write( "r = \"sqrt%2833.33%29\"
\n" ); document.write( "r ~ 5.7735 is the radius
\n" ); document.write( "Find the circumference
\n" ); document.write( "c = \"2%2Api%2A5.7735\"
\n" ); document.write( "c = 36.276 is the circumference
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