A polygon that has 104 diagonals will have 16 sides
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Let the number of sides be x and use the diagonal formula: 1/2*(x2-3x) = 104 Multiply both sides by 2: x2-3x = 208 Subtract 208 from both sides: x2-3x-208 = 0 Solving the above by means of the quadratic equation formula gives x a value of -13 and 16 so it must have 16 sides Check: 1/2*(162-(3*16)) = 104 diagonals
A 104-sided polygon is called a hecatontakaitetragon. The naming convention for polygons follows the Greek numerical prefixes for the number of sides, with "hecta" meaning 100 and "takaitetra" meaning 4. Therefore, a 104-sided polygon combines these prefixes to form its name.
104 pi ~ 326.7256
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