document.write( "Question 389460: I am making a top for a poker table. The table is an octagon. The top is also an octagon and has a diameter of 44in and side length of 18 1/2 in. I am wanting to add an oak trim ring around the top to make it wider. The trim ring will have a width of 3 in. I know that each piece will be a trapezoid with the shorter base length being 18 1/2 in and the height being 3 in but I don't know what the new longer base length will be. In other words i am asking if i add 3 in per side to a 44 in diameter octagon what would the new side lengths be. \n" ); document.write( "
Algebra.Com's Answer #276089 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! If the side length = 18.5, the diameter (from flat to flat) = 44.66\" \n" ); document.write( "If the diameter = 44, the side length = 18.225\" \n" ); document.write( "That might be more accuracy than you need, since it's probably made of wood. \n" ); document.write( "Anyway, using 44 for the diameter and 18.225 for the sides: \n" ); document.write( "Adding 3\" makes the outside side length 20.71 inches. \n" ); document.write( "------------- \n" ); document.write( "s = (22 + 3)*tan(22.5º)*2 \n" ); document.write( "s =~ 20.71 \n" ); document.write( " |