document.write( "Question 1083252: A,regular octagon of side 6cm is inscribed in acircle.calculate the diameter of the circle \n" ); document.write( "

Algebra.Com's Answer #697259 by ikleyn(52800) $\"\"$ $\"About$

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document.write( "1.  Make a sketch.\r\n" );
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document.write( "    Draw the apothem in the regular octagon.\r\n" );
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document.write( "2.  The central angle is  =  = 45 degs.\r\n" );
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document.write( "    The acute angle in the right-angled triangle is  =  = 22.5 degrees.\r\n" );
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document.write( "    From the right-angled triangle, you have  = ,   or\r\n" );
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document.write( "    R = .\r\n" );
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document.write( "    You can find  using your calculator or using the formula\r\n" );
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document.write( "     = .\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lessons\r
\n" ); document.write( "\n" ); document.write( " - The side length of a regular polygon via the radius of the circumscribed circle\r
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\n" ); document.write( "\n" ); document.write( " - Miscellaneous Trigonometry problems\r
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