document.write( "Question 747853: find the side length of a 15-sided regular polygon with apothem a=6 and area A= 282 square inches. \n" ); document.write( "
Algebra.Com's Answer #455210 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! find the side length of a 15-sided regular polygon with apothem a=6 and area A= 282 square inches. \n" ); document.write( "---------------- \n" ); document.write( "Central angle = 360/15 = 24 degs \n" ); document.write( "Each of the 15 segments can form 2 right triangles with the apothem and the side, and the angles at the center are 1/2 of 24 deg = 12 degs. \n" ); document.write( "----------- \n" ); document.write( "(s/2)/a = tan(12) \n" ); document.write( "s = 2*a*tan(12) \n" ); document.write( "s =~ 2.5507 \n" ); document.write( " \n" ); document.write( " |