Question 1031251
This is a problem in discrete mathematics, consider the definition of a circle in discrete mathematics
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the circle is comprised of polygons of n sides as n approaches infinity
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begin with the circle of radius 1 inscribed in the equilateral triangle
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the radius of the next circle is 1 / sin 30 = 2
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the interior angle of regular polygon is (n-2)180/n
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the hypotenuse (radius of the next circle) = radius of previous circle / the sin of (interior angle / 2)
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the radius of the next circle is 2 / sin 45 = 2.828427125
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the radius of the next circle is 2.828427125 / sin 54 = 3.496128196
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the radius of the next circle is 3.496128196 / sin 60 = 4.03698111
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the radius of the next circle is 4.03698111 / sin 64.28 = 4.480926229
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the radius of the next circle is 4.480926229 / sin 67.5 = 4.8501196
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the radius of the next circle is 4.8501196 / sin 70 = 5.161389472
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now we look for the limit of this sequence
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The limit of this sequence is "Polygon Circumscribing Constant" which is defined as
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limit for n > = 3 of the product of 1 / cos(pi/n) = 8.7000366
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