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14 December, 00:34

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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  1. 14 December, 00:49
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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.
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