document.write( "Question 279226: Find the area of an equilateral triangle (regular 3-gon) with the given measurement.\r
\n" ); document.write( "\n" ); document.write( "6-inch radius\r
\n" ); document.write( "\n" ); document.write( "A = sq. in. \n" ); document.write( "
Algebra.Com's Answer #203067 by CharlesG2(834)\"\" \"About 
You can put this solution on YOUR website!
Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
\n" ); document.write( "6-inch radius \r
\n" ); document.write( "\n" ); document.write( "from http://www.mathopenref.com/polygonregulararea.html:
\n" ); document.write( "If you know the radius (distance from the center to a vertex):
\n" ); document.write( "\"+area+=+%28R%5E2Nsin%282pi%2FN%29%29%2F2+\"
\n" ); document.write( "where
\n" ); document.write( "R is the radius (circumradius)
\n" ); document.write( "N is the number of sides
\n" ); document.write( "\"+pi+\" is PI, approximately 3.142
\n" ); document.write( "SIN is the sine function calculated in radians\r
\n" ); document.write( "\n" ); document.write( "\"+sin%280%29+=+0+\"\r
\n" ); document.write( "\n" ); document.write( "\"+sin%28pi%2F3%29+=++sqrt%283%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"+sin%28pi%2F2%29+=+1+\"\r
\n" ); document.write( "\n" ); document.write( "\"+sin%282%2Api%2F3%29+=+sqrt%283%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"+sin%28pi%29+=+0+\"\r
\n" ); document.write( "\n" ); document.write( "\"+area+=+%286%5E2+%2A+3+%2A+sin%282%2F3+%2A+pi%29%29%2F2+\"
\n" ); document.write( "\"+area+=+%2836+%2A+3+%2A+sqrt%283%29%2F2%29%2F2+\"
\n" ); document.write( "\"+area+=+18+%2A+3+%2A+sqrt%283%29+%2A+1%2F2+\"
\n" ); document.write( "\"+area+=+9+%2A+3+%2A+sqrt%283%29+\"
\n" ); document.write( "\"+area+=+27+%2A+sqrt%283%29+\"
\n" ); document.write( "\"+area+=+approximately+46.7654+square+inches++\"
\n" ); document.write( " \n" ); document.write( "
\n" );