document.write( "Question 747497: a chord of a circle measures 24 cm.and its distance from the centre is 4 cm.then the radius of the circle is (in cm.) \n" ); document.write( "
Algebra.Com's Answer #454960 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! This is a Pythagorean problem. \n" ); document.write( "Draw a line from the circle's centre \n" ); document.write( "to the chord so that the chord is split \n" ); document.write( "in two equal pieces (bisected). \n" ); document.write( "This gives you a right angled triangle \n" ); document.write( "complete with the radius that forms \n" ); document.write( "the hypotenuse. \n" ); document.write( "The distance from the centre to the chord \n" ); document.write( "is one side of the triangle.(4 cm.) \n" ); document.write( "and the other side is halve the chord (12 cm) \n" ); document.write( "4^2 + 12^2 = radius^2 \n" ); document.write( "radius^2 = 160 \n" ); document.write( "radius = square root of 160 \n" ); document.write( " = 12.7 (1 decimal place) \n" ); document.write( " |