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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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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.

User Vitalis Hommel
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