document.write( "Question 960194: how many sides does a regular polygon have if one of the exterior angles=9. and how many sides does a regular polygon have if one of the exterior angles=11.25? \n" ); document.write( "

Algebra.Com's Answer #586817 by Edwin McCravy(20067) $\"\"$ $\"About$

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how many sides does a regular polygon have if one of the exterior angles=9°?
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document.write( "The sum of the exterior angles of a polygon is 360° and since there are n\r\n" );
document.write( "exterior angles all with the same measure,\r\n" );
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document.write( "360°/n = 9°\r\n" );
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document.write( "Multiply both sides by n\r\n" );
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document.write( "360° = 5°n\r\n" );
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document.write( "Divide both sides by 5°\r\n" );
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document.write( "72 = n\r\n" );
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document.write( "That's the answer.  \r\n" );
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document.write( "[Incidentally, a 72-sided regular polygon would be hard to tell\r\n" );
document.write( "from a circle, unless it were very large.]\r\n" );
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\n" ); document.write( "\n" ); document.write( "how many sides does a regular polygon have if one of the exterior angles=11.25°?
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document.write( "360°/n = 11.25°\r\n" );
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document.write( "Multiply both sides by n\r\n" );
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document.write( "360° = 11.25°n\r\n" );
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document.write( "Divide both sides by 11.25°\r\n" );
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document.write( "32 = n\r\n" );
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document.write( "Answer: 32 sides. Here's how a 32-sided regular polygon looks.\r\n" );
document.write( "The green lines are drawn from the center to the vertices, and\r\n" );
document.write( "would all be radii of a circumscribing circle:\r\n" );
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document.write( "Edwin

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