document.write( "Question 3904: area of a regular pentagon inscribed in a circle of radius 12cm. \n" ); document.write( "
Algebra.Com's Answer #1716 by khwang(438)![]() ![]() ![]() You can put this solution on YOUR website! Let AB be a side of the pentagon and O be the center.\r \n" ); document.write( "\n" ); document.write( " then angle AOB = 360/5 = 72 degrees. \n" ); document.write( " \n" ); document.write( " And the area of AOB = 1/2 AOsin angle AOB \n" ); document.write( " = 1/2 r^2 sin AOB = 1/2 * 144 sin 72' \n" ); document.write( " = 72 sin 72 = 68.48 cm^2\r \n" ); document.write( "\n" ); document.write( " So the area of the pentagon = 5 area of triangle AOB = 342.38 cm^2\r \n" ); document.write( "\n" ); document.write( " Kenny \n" ); document.write( " |