document.write( "Question 120213: What is the width, in inches, of the largest rectangle with length 16 inches that can be cut from a circular piece of cardboard having a radius of 10 inches. \n" ); document.write( "
Algebra.Com's Answer #88094 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! THE ANSWER IS A 12 BY 16 INCH RECTANGLE. CAN'T DRAW IT OUT FOR YOU BUT: \n" ); document.write( "DRAW A 10 INCH RADIUS CIRCLE. \n" ); document.write( "DRAW A HORIZONTAL LINE THROUCH THE CENTER. \n" ); document.write( "THIS IS A 20 INCH LINE. \n" ); document.write( "NOW DRAW A 16 INCH PARALLEL LINE ABOVE & BELOW THIS LINE. \n" ); document.write( "NOW DRAW A LINE FROM THE CENTER TO THE POINT WHERE THE 16 INCH LINE TOUCHES THE CIRCLE. \n" ); document.write( "DROP OR RAISE A VERTICLE LINRE FROM THIS INTERSECTION POINT TO THE 20 INCH DIAMETER LINE. \n" ); document.write( "YOU NOW HAVE A RIGHT TRIANGLE WITH DIMENTIONS OF 10 INCHES FOR THE HYPOTENUSE & 8 INCHES FROM THE CENTER TO THR PERPENDICULAR LINE JUST DRAWN. \n" ); document.write( "THIS FORMS A 6-8-10 TRIANGLE. THUS THE WIDTH OF THE RECTANGLE IS 2*6=12 INCHES. \n" ); document.write( "THEREFORE THE WIDTH OF THE RECTANGLE IS 12. \n" ); document.write( " |