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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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