document.write( "Question 292754: a chord 10 inches long is 5 inches from the center of a circle. How far from the center is a chord 14 inches long? \n" ); document.write( "
Algebra.Com's Answer #211415 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! chord 10 inches long is 5 inches from the center of a circle. \n" ); document.write( " How far from the center is a chord 14 inches long? \n" ); document.write( ": \n" ); document.write( "Find r: \n" ); document.write( "r is the hypotenuse of a triangle where both legs are 5\" long (half the 10\" chord) \n" ); document.write( "r^2 = 5^2 + 5^2 \n" ); document.write( "r^2 = 50 \n" ); document.write( ": \n" ); document.write( "Find the distance x from the center to the 14\" chord \n" ); document.write( " 7^2 + x^2 = r^2 \n" ); document.write( "49 + x^2 = 50 \n" ); document.write( "x^2 = 40 - 49 \n" ); document.write( "x^2 = 1 \n" ); document.write( "x = 1\" distance from the center to the 14\" chord \n" ); document.write( " |