document.write( "Question 307236: a chord of a circle has length 4.2 cm and is 8cm from the center f the circle. what is the radius of the circle to the nearest hundereth \n" ); document.write( "
Algebra.Com's Answer #219829 by mananth(16949) You can put this solution on YOUR website! a chord of a circle has length 4.2 cm and is 8cm from the center f the circle. what is the radius of the circle to the nearest hundereth\r \n" ); document.write( "\n" ); document.write( "THE VERTICAL DISTANCE FROM THE CENTER TO THE CHORD = 8CM\r \n" ); document.write( "\n" ); document.write( "the chord is bisected by this line at right angle.\r \n" ); document.write( "\n" ); document.write( "so half of the chord = 4 cms.\r \n" ); document.write( "\n" ); document.write( "half the chord , the line meeting the chord from the center of the circle and the radius form a right triangle. Hypotenuse is the radius.\r \n" ); document.write( "\n" ); document.write( "one leg = 4cm \n" ); document.write( "the other leg = 8 cm.\r \n" ); document.write( "\n" ); document.write( "hypotenuse^2 = 4^2+8^2\r \n" ); document.write( "\n" ); document.write( "hypotenuse ^2 = 16+64 \n" ); document.write( "hypotenuse ^2 = 80 \n" ); document.write( "Hypotenuse = sqrt 80 \n" ); document.write( "radius = 8.94 cm\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |