document.write( "Question 1070324: If equilateral polygon PENTA is inscribed in a circle of radius 15 inches so that all of its vertices are on the circle, what is the length of the shorter arc from vertex P to vertex N?
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Algebra.Com's Answer #685430 by ikleyn(52872)\"\" \"About 
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document.write( "1.  If equilateral polygon PENTA is inscribed in a circle, then the polygon is a REGULAR.\r\n" );
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document.write( "2.  The central angle of the polygon leaning to the shortest chord is  \"alpha\" = \"2pi%2F5\" = \"%28360%5Eo%29%2F5\" = 72 degs.\r\n" );
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document.write( "    The central angle of the polygon leaning to the shorter arc from vertex P to vertex N is  \"beta\" = \"2%2A%282pi%2F5%29\" = \"2%2A%28%28360%5Eo%29%2F5%29\" = 144 degs.\r\n" );
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document.write( "    The length of the corresponding arc is  \"r%2Abeta\" = \"15%2A2%2A%282pi%2F5%29\" = \"3pi\" = (3*2*2)*3.14 = 12*3.14 inches.\r\n" );
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document.write( "Calculate.\r\n" );
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