t3ktkurbeccallyva
t3ktkurbeccallyva t3ktkurbeccallyva
  • 13-07-2016
  • Mathematics
contestada

find the sum of the interior angles and the number of diagonals of a regular polygon whose central angle is 6

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meerkat18
meerkat18 meerkat18
  • 16-07-2016
The formula for sum of the interior angles is,
                                  S = 180 x (n - 2) 
and that of the number of diagonals is,
                                  d = n x (n - 3) / 2 
where n is the number of sides. For 6-sided polygon,
                                   S = 180 x ( 6 - 2) = 720
                                    d = 6 x (6 - 3) / 2 = 9
Therefore, the answer is 720 degrees and 9 diagonals. 

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