document.write( "Question 1040353: Find the area of a regular octagon inscribed in a circle with radius r with 45 degree \n" ); document.write( "

Algebra.Com's Answer #655181 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Find the area of a regular octagon inscribed in a circle with radius r. $\"highlight%28cross%28with_45_degree%29%29\"$ .
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document.write( "This octagon is comprised of 8 isosceles triangles, each with two lateral sides of the length r and the angle of  = 45 degrees between them.\r\n" );
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document.write( "Very good.\r\n" );
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document.write( "Then the area of each of these triangles is half of the product r by itself and sin(45°)  \r\n" );
document.write( "(see the lesson Formulas for area of a triangle in this site).\r\n" );
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document.write( "In other words, S1 =  =  = .\r\n" );
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document.write( "Now multiply it by 8, and you will get S =  for the area of the entire octagon.\r\n" );
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