document.write( "Question 427376: A chord 24 inches long is 5 inches from the center of a circle. What is the radius of the circle to the nearest tenth of an inch? Please explain how you go the answer because I don't understand this question at all. \n" ); document.write( "
| Algebra.Com's Answer #297208 by sudhanshu_kmr(1152)     You can put this solution on YOUR website! \n" ); document.write( "Chord and two radius joining the endpoint of chord and center form an isosceles triangle.\r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "the line joining the center and midpoint of chord form a right angle on chord.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "by Pythagoras theorem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "( half of chord)^2 + (distance between chord and center)^2 = radius^2\r \n" ); document.write( "\n" ); document.write( "=> (12)^2 + 5^2 = radius^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=> radius ^2 = 169\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so, radius = 13 inches.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |