document.write( "Question 957218: The octagon has a radius of 10. Find area. \n" ); document.write( "
Algebra.Com's Answer #584878 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The central angle is \"%22360%B0%22%2F8+=+%2245%B0%22\"\r\n" );
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document.write( "The SAS formula for the area of a triangle is\r\n" );
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document.write( "\"The area of a triangle is equal to one-half the product of\r\n" );
document.write( "two sides multipled by the sine of the included angle.\r\n" );
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document.write( "Area of the triangle = \"expr%281%2F2%29%2810%29%2810%29sin%28%2245%B0%22%29\"\"%22%22=%22%22\"\"%2850%29sqrt%282%29%2F2\"\"%22%22=%22%22\"\"25sqrt%282%29\"\r\n" );
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document.write( "and as we see below:\r\n" );
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document.write( "the regular octagon is composed of 8 such triangles,\r\n" );
document.write( "all congruent.  Therefore:\r\n" );
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document.write( "The area of the regular octagon = \"8%2A25sqrt%282%29\"\"%22%22=%22%22\"\"200sqrt%282%29\".\r\n" );
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document.write( "That's approximately 282.8427125 square units.\r\n" );
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document.write( "Edwin
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