document.write( "Question 289972: how do you find the area of an octagon with a radius of 10?? \n" ); document.write( "
Algebra.Com's Answer #209916 by CharlesG2(834)![]() ![]() ![]() You can put this solution on YOUR website! how do you find the area of an octagon with a radius of 10?\r \n" ); document.write( "\n" ); document.write( "A area = 1/2 * n * r^2 * sin((2pi)/n) \n" ); document.write( "this is the area of 8 triangles arranged in a circle \n" ); document.write( "area of 1 triangle = 1/2 * r^2 * sin(2pi/8) \n" ); document.write( "area of 1 triangle = 1/2 * r^2 * sin(pi/4) \n" ); document.write( "(r^2 = 100) \n" ); document.write( "(sin pi/4 = sin (45 deg.)) \n" ); document.write( "area of 1 triangle = 1/2 * r^2 * sqrt(2)/2) = sqrt(2)/4 * 100 \n" ); document.write( "area of 1 triangle = 25sqrt(2) \n" ); document.write( "total area = 8 * 25 * sqrt(2)= 200sqrt(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |