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    The number of diagonals in a regular heptagon is:
    Question

    The number of diagonals in a regular heptagon is:

    A.

    18

    B.

    15

    C.

    14

    D.

    19

    Correct option is C

    Given:

    A regular heptagon (7-sided polygon)

    Concept Used:

    The number of diagonals in an n-sided polygon is given by the formula:

    Total diagonals = n(n3)2\frac{n(n - 3)}{2}​​

    Solution:

    For a heptagon, n = 7

    Diagonals = 7(73)2=7×42=282\frac{7(7 - 3)}{2} = \frac{7 \times 4}{2} = \frac{28}{2}​ = 14

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