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)![]() ![]() You can put this solution on YOUR website! 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 = \n" ); document.write( "r^2 = 33.33 \n" ); document.write( "r = \n" ); document.write( "r ~ 5.7735 is the radius \n" ); document.write( "Find the circumference \n" ); document.write( "c = \n" ); document.write( "c = 36.276 is the circumference \n" ); document.write( " |