document.write( "Question 1103080: A circle is inscribed inside a regular hexagon. Find the ratio of the area of the circle to the area of the hexagon. \n" ); document.write( "
Algebra.Com's Answer #717764 by ikleyn(52903)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "The area  \"S%5Bn%5D\" of a regular  n-sided polygon circumscribed about a circle of the radius R is equal to\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"S%5Bn%5D\" = \"n\".\"R%5E2\"\"tan%28pi%2Fn%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The area of circle of the radius R  is  S = \"pi%2AR%5E2\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The ratio you are asking for is  \"S%2FS%5Bn%5D\" = \"pi%2F%28n%2Atan%28pi%2Fn%29%29\"\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "See the lesson \r
\n" ); document.write( "\n" ); document.write( "    - Area of a regular n-sided polygon via the radius of the inscribed circle \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );